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Finding the Fourth Proportional to 24,715.80, 37,047.52 and 8,071.37

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Solution

The fourth proportional to 24,715.80, 37,047.52 and 8,071.37 is: 12,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,715.80 : 37,047.52 = 8,071.37 : x
  2. Step 2: Convert to fraction form
    24,715.80/37,047.52 = 8,071.37/x
  3. Step 3: Cross multiply
    24,715.80x = 37,047.52 × 8,071.37
  4. Step 4: Simplify right side
    24,715.80x = 299,024,205.28
  5. Step 5: Solve for x
    x = 299,024,205.28/24,715.80
  6. Step 6: Final answer
    x = 12,098.50

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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.