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Finding the Fourth Proportional to 16,018.32, 24,031.86 and 7,705.29

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Solution

The fourth proportional to 16,018.32, 24,031.86 and 7,705.29 is: 11,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,018.32 : 24,031.86 = 7,705.29 : x
  2. Step 2: Convert to fraction form
    16,018.32/24,031.86 = 7,705.29/x
  3. Step 3: Cross multiply
    16,018.32x = 24,031.86 × 7,705.29
  4. Step 4: Simplify right side
    16,018.32x = 185,172,450.54
  5. Step 5: Solve for x
    x = 185,172,450.54/16,018.32
  6. Step 6: Final answer
    x = 11,560.04

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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.