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Finding the Fourth Proportional to 24,523.49, 36,797.40 and 9,732.08

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Solution

The fourth proportional to 24,523.49, 36,797.40 and 9,732.08 is: 14,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,523.49 : 36,797.40 = 9,732.08 : x
  2. Step 2: Convert to fraction form
    24,523.49/36,797.40 = 9,732.08/x
  3. Step 3: Cross multiply
    24,523.49x = 36,797.40 × 9,732.08
  4. Step 4: Simplify right side
    24,523.49x = 358,115,056.61
  5. Step 5: Solve for x
    x = 358,115,056.61/24,523.49
  6. Step 6: Final answer
    x = 14,602.94

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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.