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Finding the Fourth Proportional to 16,257.66, 24,384.33 and 6,394.29

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Solution

The fourth proportional to 16,257.66, 24,384.33 and 6,394.29 is: 9,590.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.66 : 24,384.33 = 6,394.29 : x
  2. Step 2: Convert to fraction form
    16,257.66/24,384.33 = 6,394.29/x
  3. Step 3: Cross multiply
    16,257.66x = 24,384.33 × 6,394.29
  4. Step 4: Simplify right side
    16,257.66x = 155,920,477.48
  5. Step 5: Solve for x
    x = 155,920,477.48/16,257.66
  6. Step 6: Final answer
    x = 9,590.59

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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.