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Finding the Fourth Proportional to 16,031.35, 24,043.38 and 7,706.17

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Solution

The fourth proportional to 16,031.35, 24,043.38 and 7,706.17 is: 11,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,031.35 : 24,043.38 = 7,706.17 : x
  2. Step 2: Convert to fraction form
    16,031.35/24,043.38 = 7,706.17/x
  3. Step 3: Cross multiply
    16,031.35x = 24,043.38 × 7,706.17
  4. Step 4: Simplify right side
    16,031.35x = 185,282,373.65
  5. Step 5: Solve for x
    x = 185,282,373.65/16,031.35
  6. Step 6: Final answer
    x = 11,557.50

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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.