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Finding the Fourth Proportional to 14,672.34, 21,982.59 and 7,751.70

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Solution

The fourth proportional to 14,672.34, 21,982.59 and 7,751.70 is: 11,613.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672.34 : 21,982.59 = 7,751.70 : x
  2. Step 2: Convert to fraction form
    14,672.34/21,982.59 = 7,751.70/x
  3. Step 3: Cross multiply
    14,672.34x = 21,982.59 × 7,751.70
  4. Step 4: Simplify right side
    14,672.34x = 170,402,442.90
  5. Step 5: Solve for x
    x = 170,402,442.90/14,672.34
  6. Step 6: Final answer
    x = 11,613.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.