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Finding the Fourth Proportional to 25,792.48, 35,591.16 and 14,459.38

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Solution

The fourth proportional to 25,792.48, 35,591.16 and 14,459.38 is: 19,952.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792.48 : 35,591.16 = 14,459.38 : x
  2. Step 2: Convert to fraction form
    25,792.48/35,591.16 = 14,459.38/x
  3. Step 3: Cross multiply
    25,792.48x = 35,591.16 × 14,459.38
  4. Step 4: Simplify right side
    25,792.48x = 514,626,072.33
  5. Step 5: Solve for x
    x = 514,626,072.33/25,792.48
  6. Step 6: Final answer
    x = 19,952.56

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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.