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Finding the Fourth Proportional to 24,005.73, 36,013.50 and 8,434.29

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Solution

The fourth proportional to 24,005.73, 36,013.50 and 8,434.29 is: 12,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,005.73 : 36,013.50 = 8,434.29 : x
  2. Step 2: Convert to fraction form
    24,005.73/36,013.50 = 8,434.29/x
  3. Step 3: Cross multiply
    24,005.73x = 36,013.50 × 8,434.29
  4. Step 4: Simplify right side
    24,005.73x = 303,748,302.92
  5. Step 5: Solve for x
    x = 303,748,302.92/24,005.73
  6. Step 6: Final answer
    x = 12,653.16

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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.