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Finding the Fourth Proportional to 16,641.70, 24,973.72 and 7,877.30

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Solution

The fourth proportional to 16,641.70, 24,973.72 and 7,877.30 is: 11,821.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,641.70 : 24,973.72 = 7,877.30 : x
  2. Step 2: Convert to fraction form
    16,641.70/24,973.72 = 7,877.30/x
  3. Step 3: Cross multiply
    16,641.70x = 24,973.72 × 7,877.30
  4. Step 4: Simplify right side
    16,641.70x = 196,725,480.47
  5. Step 5: Solve for x
    x = 196,725,480.47/16,641.70
  6. Step 6: Final answer
    x = 11,821.23

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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.