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Finding the Fourth Proportional to 25,574.70, 38,314.53 and 13,897.74

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Solution

The fourth proportional to 25,574.70, 38,314.53 and 13,897.74 is: 20,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574.70 : 38,314.53 = 13,897.74 : x
  2. Step 2: Convert to fraction form
    25,574.70/38,314.53 = 13,897.74/x
  3. Step 3: Cross multiply
    25,574.70x = 38,314.53 × 13,897.74
  4. Step 4: Simplify right side
    25,574.70x = 532,485,376.16
  5. Step 5: Solve for x
    x = 532,485,376.16/25,574.70
  6. Step 6: Final answer
    x = 20,820.79

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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.