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Finding the Fourth Proportional to 25,445.28, 38,126.88 and 13,764

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Solution

The fourth proportional to 25,445.28, 38,126.88 and 13,764 is: 20,623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,445.28 : 38,126.88 = 13,764 : x
  2. Step 2: Convert to fraction form
    25,445.28/38,126.88 = 13,764/x
  3. Step 3: Cross multiply
    25,445.28x = 38,126.88 × 13,764
  4. Step 4: Simplify right side
    25,445.28x = 524,778,376.32
  5. Step 5: Solve for x
    x = 524,778,376.32/25,445.28
  6. Step 6: Final answer
    x = 20,623.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.