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Finding the Fourth Proportional to 16,098.48, 24,134.76 and 6,870.96

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Solution

The fourth proportional to 16,098.48, 24,134.76 and 6,870.96 is: 10,300.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.48 : 24,134.76 = 6,870.96 : x
  2. Step 2: Convert to fraction form
    16,098.48/24,134.76 = 6,870.96/x
  3. Step 3: Cross multiply
    16,098.48x = 24,134.76 × 6,870.96
  4. Step 4: Simplify right side
    16,098.48x = 165,828,970.57
  5. Step 5: Solve for x
    x = 165,828,970.57/16,098.48
  6. Step 6: Final answer
    x = 10,300.91

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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.