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Finding the Fourth Proportional to 15,502.68, 23,250.78 and 5,112

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Solution

The fourth proportional to 15,502.68, 23,250.78 and 5,112 is: 7,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.68 : 23,250.78 = 5,112 : x
  2. Step 2: Convert to fraction form
    15,502.68/23,250.78 = 5,112/x
  3. Step 3: Cross multiply
    15,502.68x = 23,250.78 × 5,112
  4. Step 4: Simplify right side
    15,502.68x = 118,857,987.36
  5. Step 5: Solve for x
    x = 118,857,987.36/15,502.68
  6. Step 6: Final answer
    x = 7,666.93

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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.