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Finding the Fourth Proportional to 15,572.47, 23,362.43 and 5,042.50

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Solution

The fourth proportional to 15,572.47, 23,362.43 and 5,042.50 is: 7,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,572.47 : 23,362.43 = 5,042.50 : x
  2. Step 2: Convert to fraction form
    15,572.47/23,362.43 = 5,042.50/x
  3. Step 3: Cross multiply
    15,572.47x = 23,362.43 × 5,042.50
  4. Step 4: Simplify right side
    15,572.47x = 117,805,086.47
  5. Step 5: Solve for x
    x = 117,805,086.47/15,572.47
  6. Step 6: Final answer
    x = 7,564.96

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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.