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Finding the Fourth Proportional to 24,182.96, 36,294.42 and 12,345.47

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Solution

The fourth proportional to 24,182.96, 36,294.42 and 12,345.47 is: 18,528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,182.96 : 36,294.42 = 12,345.47 : x
  2. Step 2: Convert to fraction form
    24,182.96/36,294.42 = 12,345.47/x
  3. Step 3: Cross multiply
    24,182.96x = 36,294.42 × 12,345.47
  4. Step 4: Simplify right side
    24,182.96x = 448,071,611.55
  5. Step 5: Solve for x
    x = 448,071,611.55/24,182.96
  6. Step 6: Final answer
    x = 18,528.41

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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.