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Finding the Fourth Proportional to 15,665.09, 23,496.54 and 7,346.93

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Solution

The fourth proportional to 15,665.09, 23,496.54 and 7,346.93 is: 11,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.09 : 23,496.54 = 7,346.93 : x
  2. Step 2: Convert to fraction form
    15,665.09/23,496.54 = 7,346.93/x
  3. Step 3: Cross multiply
    15,665.09x = 23,496.54 × 7,346.93
  4. Step 4: Simplify right side
    15,665.09x = 172,627,434.62
  5. Step 5: Solve for x
    x = 172,627,434.62/15,665.09
  6. Step 6: Final answer
    x = 11,019.88

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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.