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Finding the Fourth Proportional to 16,070.87, 24,071.21 and 6,682.42

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Solution

The fourth proportional to 16,070.87, 24,071.21 and 6,682.42 is: 10,009.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,070.87 : 24,071.21 = 6,682.42 : x
  2. Step 2: Convert to fraction form
    16,070.87/24,071.21 = 6,682.42/x
  3. Step 3: Cross multiply
    16,070.87x = 24,071.21 × 6,682.42
  4. Step 4: Simplify right side
    16,070.87x = 160,853,935.13
  5. Step 5: Solve for x
    x = 160,853,935.13/16,070.87
  6. Step 6: Final answer
    x = 10,009.04

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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.