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Finding the Fourth Proportional to 16,071.60, 24,103.08 and 5,682

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Solution

The fourth proportional to 16,071.60, 24,103.08 and 5,682 is: 8,521.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.60 : 24,103.08 = 5,682 : x
  2. Step 2: Convert to fraction form
    16,071.60/24,103.08 = 5,682/x
  3. Step 3: Cross multiply
    16,071.60x = 24,103.08 × 5,682
  4. Step 4: Simplify right side
    16,071.60x = 136,953,700.56
  5. Step 5: Solve for x
    x = 136,953,700.56/16,071.60
  6. Step 6: Final answer
    x = 8,521.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.