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Finding the Fourth Proportional to 22,657.28, 31,264.80 and 13,580.25

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Solution

The fourth proportional to 22,657.28, 31,264.80 and 13,580.25 is: 18,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.28 : 31,264.80 = 13,580.25 : x
  2. Step 2: Convert to fraction form
    22,657.28/31,264.80 = 13,580.25/x
  3. Step 3: Cross multiply
    22,657.28x = 31,264.80 × 13,580.25
  4. Step 4: Simplify right side
    22,657.28x = 424,583,800.20
  5. Step 5: Solve for x
    x = 424,583,800.20/22,657.28
  6. Step 6: Final answer
    x = 18,739.40

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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.