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Finding the Fourth Proportional to 25,566.17, 38,349.65 and 7,797.20

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Solution

The fourth proportional to 25,566.17, 38,349.65 and 7,797.20 is: 11,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,566.17 : 38,349.65 = 7,797.20 : x
  2. Step 2: Convert to fraction form
    25,566.17/38,349.65 = 7,797.20/x
  3. Step 3: Cross multiply
    25,566.17x = 38,349.65 × 7,797.20
  4. Step 4: Simplify right side
    25,566.17x = 299,019,718.72
  5. Step 5: Solve for x
    x = 299,019,718.72/25,566.17
  6. Step 6: Final answer
    x = 11,695.92

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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.