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Finding the Fourth Proportional to 12,344.80, 18,522.24 and 6,506.56

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Solution

The fourth proportional to 12,344.80, 18,522.24 and 6,506.56 is: 9,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,344.80 : 18,522.24 = 6,506.56 : x
  2. Step 2: Convert to fraction form
    12,344.80/18,522.24 = 6,506.56/x
  3. Step 3: Cross multiply
    12,344.80x = 18,522.24 × 6,506.56
  4. Step 4: Simplify right side
    12,344.80x = 120,516,065.89
  5. Step 5: Solve for x
    x = 120,516,065.89/12,344.80
  6. Step 6: Final answer
    x = 9,762.50

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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.