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Finding the Fourth Proportional to 25,918.50, 35,767.53 and 14,740.50

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Solution

The fourth proportional to 25,918.50, 35,767.53 and 14,740.50 is: 20,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,918.50 : 35,767.53 = 14,740.50 : x
  2. Step 2: Convert to fraction form
    25,918.50/35,767.53 = 14,740.50/x
  3. Step 3: Cross multiply
    25,918.50x = 35,767.53 × 14,740.50
  4. Step 4: Simplify right side
    25,918.50x = 527,231,275.97
  5. Step 5: Solve for x
    x = 527,231,275.97/25,918.50
  6. Step 6: Final answer
    x = 20,341.89

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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.