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Finding the Fourth Proportional to 16,569.90, 24,836.82 and 8,256.06

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Solution

The fourth proportional to 16,569.90, 24,836.82 and 8,256.06 is: 12,375.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.90 : 24,836.82 = 8,256.06 : x
  2. Step 2: Convert to fraction form
    16,569.90/24,836.82 = 8,256.06/x
  3. Step 3: Cross multiply
    16,569.90x = 24,836.82 × 8,256.06
  4. Step 4: Simplify right side
    16,569.90x = 205,054,276.13
  5. Step 5: Solve for x
    x = 205,054,276.13/16,569.90
  6. Step 6: Final answer
    x = 12,375.11

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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.