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Finding the Fourth Proportional to 16,580.02, 24,869.82 and 6,719.20

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Solution

The fourth proportional to 16,580.02, 24,869.82 and 6,719.20 is: 10,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.02 : 24,869.82 = 6,719.20 : x
  2. Step 2: Convert to fraction form
    16,580.02/24,869.82 = 6,719.20/x
  3. Step 3: Cross multiply
    16,580.02x = 24,869.82 × 6,719.20
  4. Step 4: Simplify right side
    16,580.02x = 167,105,294.54
  5. Step 5: Solve for x
    x = 167,105,294.54/16,580.02
  6. Step 6: Final answer
    x = 10,078.71

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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.