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Finding the Fourth Proportional to 15,665.50, 23,497.14 and 7,347.41

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Solution

The fourth proportional to 15,665.50, 23,497.14 and 7,347.41 is: 11,020.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.50 : 23,497.14 = 7,347.41 : x
  2. Step 2: Convert to fraction form
    15,665.50/23,497.14 = 7,347.41/x
  3. Step 3: Cross multiply
    15,665.50x = 23,497.14 × 7,347.41
  4. Step 4: Simplify right side
    15,665.50x = 172,643,078.26
  5. Step 5: Solve for x
    x = 172,643,078.26/15,665.50
  6. Step 6: Final answer
    x = 11,020.59

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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.