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Finding the Fourth Proportional to 12,322.85, 18,492.47 and 4,531.66

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Solution

The fourth proportional to 12,322.85, 18,492.47 and 4,531.66 is: 6,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.85 : 18,492.47 = 4,531.66 : x
  2. Step 2: Convert to fraction form
    12,322.85/18,492.47 = 4,531.66/x
  3. Step 3: Cross multiply
    12,322.85x = 18,492.47 × 4,531.66
  4. Step 4: Simplify right side
    12,322.85x = 83,801,586.60
  5. Step 5: Solve for x
    x = 83,801,586.60/12,322.85
  6. Step 6: Final answer
    x = 6,800.50

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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.