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Finding the Fourth Proportional to 16,005.20, 24,014.01 and 6,642.87

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Solution

The fourth proportional to 16,005.20, 24,014.01 and 6,642.87 is: 9,966.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.20 : 24,014.01 = 6,642.87 : x
  2. Step 2: Convert to fraction form
    16,005.20/24,014.01 = 6,642.87/x
  3. Step 3: Cross multiply
    16,005.20x = 24,014.01 × 6,642.87
  4. Step 4: Simplify right side
    16,005.20x = 159,521,946.61
  5. Step 5: Solve for x
    x = 159,521,946.61/16,005.20
  6. Step 6: Final answer
    x = 9,966.89

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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.