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Finding the Fourth Proportional to 19,503.96, 29,206.08 and 10,729.24

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Solution

The fourth proportional to 19,503.96, 29,206.08 and 10,729.24 is: 16,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,503.96 : 29,206.08 = 10,729.24 : x
  2. Step 2: Convert to fraction form
    19,503.96/29,206.08 = 10,729.24/x
  3. Step 3: Cross multiply
    19,503.96x = 29,206.08 × 10,729.24
  4. Step 4: Simplify right side
    19,503.96x = 313,359,041.78
  5. Step 5: Solve for x
    x = 313,359,041.78/19,503.96
  6. Step 6: Final answer
    x = 16,066.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.