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Finding the Fourth Proportional to 24,359.52, 36,543.89 and 7,723.74

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Solution

The fourth proportional to 24,359.52, 36,543.89 and 7,723.74 is: 11,587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,359.52 : 36,543.89 = 7,723.74 : x
  2. Step 2: Convert to fraction form
    24,359.52/36,543.89 = 7,723.74/x
  3. Step 3: Cross multiply
    24,359.52x = 36,543.89 × 7,723.74
  4. Step 4: Simplify right side
    24,359.52x = 282,255,504.95
  5. Step 5: Solve for x
    x = 282,255,504.95/24,359.52
  6. Step 6: Final answer
    x = 11,587.07

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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.