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Finding the Fourth Proportional to 24,013.56, 36,020.34 and 6,484.76

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Solution

The fourth proportional to 24,013.56, 36,020.34 and 6,484.76 is: 9,727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.56 : 36,020.34 = 6,484.76 : x
  2. Step 2: Convert to fraction form
    24,013.56/36,020.34 = 6,484.76/x
  3. Step 3: Cross multiply
    24,013.56x = 36,020.34 × 6,484.76
  4. Step 4: Simplify right side
    24,013.56x = 233,583,260.02
  5. Step 5: Solve for x
    x = 233,583,260.02/24,013.56
  6. Step 6: Final answer
    x = 9,727.14

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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.