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Finding the Fourth Proportional to 24,509.39, 36,768.13 and 9,718.38

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Solution

The fourth proportional to 24,509.39, 36,768.13 and 9,718.38 is: 14,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.39 : 36,768.13 = 9,718.38 : x
  2. Step 2: Convert to fraction form
    24,509.39/36,768.13 = 9,718.38/x
  3. Step 3: Cross multiply
    24,509.39x = 36,768.13 × 9,718.38
  4. Step 4: Simplify right side
    24,509.39x = 357,326,634.93
  5. Step 5: Solve for x
    x = 357,326,634.93/24,509.39
  6. Step 6: Final answer
    x = 14,579.18

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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.