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Finding the Fourth Proportional to 24,670.80, 37,006.55 and 8,030.92

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Solution

The fourth proportional to 24,670.80, 37,006.55 and 8,030.92 is: 12,046.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,670.80 : 37,006.55 = 8,030.92 : x
  2. Step 2: Convert to fraction form
    24,670.80/37,006.55 = 8,030.92/x
  3. Step 3: Cross multiply
    24,670.80x = 37,006.55 × 8,030.92
  4. Step 4: Simplify right side
    24,670.80x = 297,196,642.53
  5. Step 5: Solve for x
    x = 297,196,642.53/24,670.80
  6. Step 6: Final answer
    x = 12,046.49

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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.