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Finding the Fourth Proportional to 15,833.68, 23,743.64 and 7,516.08

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Solution

The fourth proportional to 15,833.68, 23,743.64 and 7,516.08 is: 11,270.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.68 : 23,743.64 = 7,516.08 : x
  2. Step 2: Convert to fraction form
    15,833.68/23,743.64 = 7,516.08/x
  3. Step 3: Cross multiply
    15,833.68x = 23,743.64 × 7,516.08
  4. Step 4: Simplify right side
    15,833.68x = 178,459,097.73
  5. Step 5: Solve for x
    x = 178,459,097.73/15,833.68
  6. Step 6: Final answer
    x = 11,270.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.