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Finding the Fourth Proportional to 19,666.98, 29,485.11 and 13,411.49

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Solution

The fourth proportional to 19,666.98, 29,485.11 and 13,411.49 is: 20,106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.98 : 29,485.11 = 13,411.49 : x
  2. Step 2: Convert to fraction form
    19,666.98/29,485.11 = 13,411.49/x
  3. Step 3: Cross multiply
    19,666.98x = 29,485.11 × 13,411.49
  4. Step 4: Simplify right side
    19,666.98x = 395,439,160.78
  5. Step 5: Solve for x
    x = 395,439,160.78/19,666.98
  6. Step 6: Final answer
    x = 20,106.76

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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.