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Finding the Fourth Proportional to 24,405.07, 36,593.74 and 9,605.97

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Solution

The fourth proportional to 24,405.07, 36,593.74 and 9,605.97 is: 14,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,405.07 : 36,593.74 = 9,605.97 : x
  2. Step 2: Convert to fraction form
    24,405.07/36,593.74 = 9,605.97/x
  3. Step 3: Cross multiply
    24,405.07x = 36,593.74 × 9,605.97
  4. Step 4: Simplify right side
    24,405.07x = 351,518,253.13
  5. Step 5: Solve for x
    x = 351,518,253.13/24,405.07
  6. Step 6: Final answer
    x = 14,403.49

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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.