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Finding the Fourth Proportional to 16,178.60, 24,281.71 and 6,324.82

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Solution

The fourth proportional to 16,178.60, 24,281.71 and 6,324.82 is: 9,492.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.60 : 24,281.71 = 6,324.82 : x
  2. Step 2: Convert to fraction form
    16,178.60/24,281.71 = 6,324.82/x
  3. Step 3: Cross multiply
    16,178.60x = 24,281.71 × 6,324.82
  4. Step 4: Simplify right side
    16,178.60x = 153,577,368.53
  5. Step 5: Solve for x
    x = 153,577,368.53/16,178.60
  6. Step 6: Final answer
    x = 9,492.62

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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.