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Finding the Fourth Proportional to 24,667.78, 34,041.91 and 14,057.18

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Solution

The fourth proportional to 24,667.78, 34,041.91 and 14,057.18 is: 19,399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,667.78 : 34,041.91 = 14,057.18 : x
  2. Step 2: Convert to fraction form
    24,667.78/34,041.91 = 14,057.18/x
  3. Step 3: Cross multiply
    24,667.78x = 34,041.91 × 14,057.18
  4. Step 4: Simplify right side
    24,667.78x = 478,533,306.38
  5. Step 5: Solve for x
    x = 478,533,306.38/24,667.78
  6. Step 6: Final answer
    x = 19,399.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.