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Finding the Fourth Proportional to 25,038.72, 34,549.24 and 14,971.24

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Solution

The fourth proportional to 25,038.72, 34,549.24 and 14,971.24 is: 20,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,038.72 : 34,549.24 = 14,971.24 : x
  2. Step 2: Convert to fraction form
    25,038.72/34,549.24 = 14,971.24/x
  3. Step 3: Cross multiply
    25,038.72x = 34,549.24 × 14,971.24
  4. Step 4: Simplify right side
    25,038.72x = 517,244,963.86
  5. Step 5: Solve for x
    x = 517,244,963.86/25,038.72
  6. Step 6: Final answer
    x = 20,657.80

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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.