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Finding the Fourth Proportional to 24,221.61, 36,331.40 and 8,430.23

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Solution

The fourth proportional to 24,221.61, 36,331.40 and 8,430.23 is: 12,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,221.61 : 36,331.40 = 8,430.23 : x
  2. Step 2: Convert to fraction form
    24,221.61/36,331.40 = 8,430.23/x
  3. Step 3: Cross multiply
    24,221.61x = 36,331.40 × 8,430.23
  4. Step 4: Simplify right side
    24,221.61x = 306,282,170.13
  5. Step 5: Solve for x
    x = 306,282,170.13/24,221.61
  6. Step 6: Final answer
    x = 12,645.00

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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.