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Finding the Fourth Proportional to 25,777.66, 38,680.84 and 13,931.20

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Solution

The fourth proportional to 25,777.66, 38,680.84 and 13,931.20 is: 20,904.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777.66 : 38,680.84 = 13,931.20 : x
  2. Step 2: Convert to fraction form
    25,777.66/38,680.84 = 13,931.20/x
  3. Step 3: Cross multiply
    25,777.66x = 38,680.84 × 13,931.20
  4. Step 4: Simplify right side
    25,777.66x = 538,870,518.21
  5. Step 5: Solve for x
    x = 538,870,518.21/25,777.66
  6. Step 6: Final answer
    x = 20,904.56

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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.