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Finding the Fourth Proportional to 14,830.14, 22,247.17 and 5,476.74

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Solution

The fourth proportional to 14,830.14, 22,247.17 and 5,476.74 is: 8,215.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.14 : 22,247.17 = 5,476.74 : x
  2. Step 2: Convert to fraction form
    14,830.14/22,247.17 = 5,476.74/x
  3. Step 3: Cross multiply
    14,830.14x = 22,247.17 × 5,476.74
  4. Step 4: Simplify right side
    14,830.14x = 121,841,965.83
  5. Step 5: Solve for x
    x = 121,841,965.83/14,830.14
  6. Step 6: Final answer
    x = 8,215.83

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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.