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Finding the Fourth Proportional to 25,032.78, 34,546.32 and 13,854.78

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Solution

The fourth proportional to 25,032.78, 34,546.32 and 13,854.78 is: 19,120.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,032.78 : 34,546.32 = 13,854.78 : x
  2. Step 2: Convert to fraction form
    25,032.78/34,546.32 = 13,854.78/x
  3. Step 3: Cross multiply
    25,032.78x = 34,546.32 × 13,854.78
  4. Step 4: Simplify right side
    25,032.78x = 478,631,663.41
  5. Step 5: Solve for x
    x = 478,631,663.41/25,032.78
  6. Step 6: Final answer
    x = 19,120.20

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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.