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Finding the Fourth Proportional to 25,918.72, 35,761.48 and 14,586

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Solution

The fourth proportional to 25,918.72, 35,761.48 and 14,586 is: 20,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,918.72 : 35,761.48 = 14,586 : x
  2. Step 2: Convert to fraction form
    25,918.72/35,761.48 = 14,586/x
  3. Step 3: Cross multiply
    25,918.72x = 35,761.48 × 14,586
  4. Step 4: Simplify right side
    25,918.72x = 521,616,947.28
  5. Step 5: Solve for x
    x = 521,616,947.28/25,918.72
  6. Step 6: Final answer
    x = 20,125.10

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