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Finding the Fourth Proportional to 16,032.12, 24,031.16 and 7,706.96

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Solution

The fourth proportional to 16,032.12, 24,031.16 and 7,706.96 is: 11,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.12 : 24,031.16 = 7,706.96 : x
  2. Step 2: Convert to fraction form
    16,032.12/24,031.16 = 7,706.96/x
  3. Step 3: Cross multiply
    16,032.12x = 24,031.16 × 7,706.96
  4. Step 4: Simplify right side
    16,032.12x = 185,207,188.87
  5. Step 5: Solve for x
    x = 185,207,188.87/16,032.12
  6. Step 6: Final answer
    x = 11,552.26

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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.