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Finding the Fourth Proportional to 24,494.19, 36,718.07 and 9,712.23

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Solution

The fourth proportional to 24,494.19, 36,718.07 and 9,712.23 is: 14,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.19 : 36,718.07 = 9,712.23 : x
  2. Step 2: Convert to fraction form
    24,494.19/36,718.07 = 9,712.23/x
  3. Step 3: Cross multiply
    24,494.19x = 36,718.07 × 9,712.23
  4. Step 4: Simplify right side
    24,494.19x = 356,614,292.43
  5. Step 5: Solve for x
    x = 356,614,292.43/24,494.19
  6. Step 6: Final answer
    x = 14,559.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.