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Finding the Fourth Proportional to 16,264.06, 24,383.10 and 6,401.50

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Solution

The fourth proportional to 16,264.06, 24,383.10 and 6,401.50 is: 9,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.06 : 24,383.10 = 6,401.50 : x
  2. Step 2: Convert to fraction form
    16,264.06/24,383.10 = 6,401.50/x
  3. Step 3: Cross multiply
    16,264.06x = 24,383.10 × 6,401.50
  4. Step 4: Simplify right side
    16,264.06x = 156,088,414.65
  5. Step 5: Solve for x
    x = 156,088,414.65/16,264.06
  6. Step 6: Final answer
    x = 9,597.14

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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.