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Finding the Fourth Proportional to 24,543.24, 36,815.76 and 7,901.10

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Solution

The fourth proportional to 24,543.24, 36,815.76 and 7,901.10 is: 11,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,543.24 : 36,815.76 = 7,901.10 : x
  2. Step 2: Convert to fraction form
    24,543.24/36,815.76 = 7,901.10/x
  3. Step 3: Cross multiply
    24,543.24x = 36,815.76 × 7,901.10
  4. Step 4: Simplify right side
    24,543.24x = 290,885,001.34
  5. Step 5: Solve for x
    x = 290,885,001.34/24,543.24
  6. Step 6: Final answer
    x = 11,851.94

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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.