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Finding the Fourth Proportional to 14,956, 22,431.12 and 5,095.20

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Solution

The fourth proportional to 14,956, 22,431.12 and 5,095.20 is: 7,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,956 : 22,431.12 = 5,095.20 : x
  2. Step 2: Convert to fraction form
    14,956/22,431.12 = 5,095.20/x
  3. Step 3: Cross multiply
    14,956x = 22,431.12 × 5,095.20
  4. Step 4: Simplify right side
    14,956x = 114,291,042.62
  5. Step 5: Solve for x
    x = 114,291,042.62/14,956
  6. Step 6: Final answer
    x = 7,641.82

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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.