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Finding the Fourth Proportional to 14,516.92, 21,760.67 and 9,837.40

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Solution

The fourth proportional to 14,516.92, 21,760.67 and 9,837.40 is: 14,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.92 : 21,760.67 = 9,837.40 : x
  2. Step 2: Convert to fraction form
    14,516.92/21,760.67 = 9,837.40/x
  3. Step 3: Cross multiply
    14,516.92x = 21,760.67 × 9,837.40
  4. Step 4: Simplify right side
    14,516.92x = 214,068,507.01
  5. Step 5: Solve for x
    x = 214,068,507.01/14,516.92
  6. Step 6: Final answer
    x = 14,746.14

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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.