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Finding the Fourth Proportional to 12,543.92, 18,812.30 and 5,047.50

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Solution

The fourth proportional to 12,543.92, 18,812.30 and 5,047.50 is: 7,569.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.92 : 18,812.30 = 5,047.50 : x
  2. Step 2: Convert to fraction form
    12,543.92/18,812.30 = 5,047.50/x
  3. Step 3: Cross multiply
    12,543.92x = 18,812.30 × 5,047.50
  4. Step 4: Simplify right side
    12,543.92x = 94,955,059.01
  5. Step 5: Solve for x
    x = 94,955,059.01/12,543.92
  6. Step 6: Final answer
    x = 7,569.81

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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.