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Finding the Fourth Proportional to 16,442.76, 22,673.17 and 10,466.79

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Solution

The fourth proportional to 16,442.76, 22,673.17 and 10,466.79 is: 14,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,442.76 : 22,673.17 = 10,466.79 : x
  2. Step 2: Convert to fraction form
    16,442.76/22,673.17 = 10,466.79/x
  3. Step 3: Cross multiply
    16,442.76x = 22,673.17 × 10,466.79
  4. Step 4: Simplify right side
    16,442.76x = 237,315,178.21
  5. Step 5: Solve for x
    x = 237,315,178.21/16,442.76
  6. Step 6: Final answer
    x = 14,432.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.