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Finding the Fourth Proportional to 14,117.72, 21,181.19 and 10,165.74

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Solution

The fourth proportional to 14,117.72, 21,181.19 and 10,165.74 is: 15,251.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,117.72 : 21,181.19 = 10,165.74 : x
  2. Step 2: Convert to fraction form
    14,117.72/21,181.19 = 10,165.74/x
  3. Step 3: Cross multiply
    14,117.72x = 21,181.19 × 10,165.74
  4. Step 4: Simplify right side
    14,117.72x = 215,322,340.17
  5. Step 5: Solve for x
    x = 215,322,340.17/14,117.72
  6. Step 6: Final answer
    x = 15,251.93

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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.