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Finding the Fourth Proportional to 24,710.24, 37,046.50 and 8,060.24

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Solution

The fourth proportional to 24,710.24, 37,046.50 and 8,060.24 is: 12,084.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,710.24 : 37,046.50 = 8,060.24 : x
  2. Step 2: Convert to fraction form
    24,710.24/37,046.50 = 8,060.24/x
  3. Step 3: Cross multiply
    24,710.24x = 37,046.50 × 8,060.24
  4. Step 4: Simplify right side
    24,710.24x = 298,603,681.16
  5. Step 5: Solve for x
    x = 298,603,681.16/24,710.24
  6. Step 6: Final answer
    x = 12,084.21

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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.