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Finding the Fourth Proportional to 19,909.80, 29,868.30 and 10,024.20

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Solution

The fourth proportional to 19,909.80, 29,868.30 and 10,024.20 is: 15,038.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.80 : 29,868.30 = 10,024.20 : x
  2. Step 2: Convert to fraction form
    19,909.80/29,868.30 = 10,024.20/x
  3. Step 3: Cross multiply
    19,909.80x = 29,868.30 × 10,024.20
  4. Step 4: Simplify right side
    19,909.80x = 299,405,812.86
  5. Step 5: Solve for x
    x = 299,405,812.86/19,909.80
  6. Step 6: Final answer
    x = 15,038.11

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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.