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Finding the Fourth Proportional to 24,013.13, 36,019.89 and 8,430.75

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Solution

The fourth proportional to 24,013.13, 36,019.89 and 8,430.75 is: 12,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.13 : 36,019.89 = 8,430.75 : x
  2. Step 2: Convert to fraction form
    24,013.13/36,019.89 = 8,430.75/x
  3. Step 3: Cross multiply
    24,013.13x = 36,019.89 × 8,430.75
  4. Step 4: Simplify right side
    24,013.13x = 303,674,687.62
  5. Step 5: Solve for x
    x = 303,674,687.62/24,013.13
  6. Step 6: Final answer
    x = 12,646.20

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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.