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Finding the Fourth Proportional to 24,394.93, 36,588.63 and 7,752.79

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Solution

The fourth proportional to 24,394.93, 36,588.63 and 7,752.79 is: 11,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.93 : 36,588.63 = 7,752.79 : x
  2. Step 2: Convert to fraction form
    24,394.93/36,588.63 = 7,752.79/x
  3. Step 3: Cross multiply
    24,394.93x = 36,588.63 × 7,752.79
  4. Step 4: Simplify right side
    24,394.93x = 283,663,964.78
  5. Step 5: Solve for x
    x = 283,663,964.78/24,394.93
  6. Step 6: Final answer
    x = 11,627.99

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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.