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Finding the Fourth Proportional to 17,630.19, 24,330.11 and 9,672.57

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Solution

The fourth proportional to 17,630.19, 24,330.11 and 9,672.57 is: 13,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,630.19 : 24,330.11 = 9,672.57 : x
  2. Step 2: Convert to fraction form
    17,630.19/24,330.11 = 9,672.57/x
  3. Step 3: Cross multiply
    17,630.19x = 24,330.11 × 9,672.57
  4. Step 4: Simplify right side
    17,630.19x = 235,334,643.72
  5. Step 5: Solve for x
    x = 235,334,643.72/17,630.19
  6. Step 6: Final answer
    x = 13,348.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.