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Finding the Fourth Proportional to 24,684.81, 37,029.24 and 9,885.66

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Solution

The fourth proportional to 24,684.81, 37,029.24 and 9,885.66 is: 14,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,684.81 : 37,029.24 = 9,885.66 : x
  2. Step 2: Convert to fraction form
    24,684.81/37,029.24 = 9,885.66/x
  3. Step 3: Cross multiply
    24,684.81x = 37,029.24 × 9,885.66
  4. Step 4: Simplify right side
    24,684.81x = 366,058,476.70
  5. Step 5: Solve for x
    x = 366,058,476.70/24,684.81
  6. Step 6: Final answer
    x = 14,829.30

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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.