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Finding the Fourth Proportional to 15,537.70, 23,278.20 and 8,944.30

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Solution

The fourth proportional to 15,537.70, 23,278.20 and 8,944.30 is: 13,400.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,537.70 : 23,278.20 = 8,944.30 : x
  2. Step 2: Convert to fraction form
    15,537.70/23,278.20 = 8,944.30/x
  3. Step 3: Cross multiply
    15,537.70x = 23,278.20 × 8,944.30
  4. Step 4: Simplify right side
    15,537.70x = 208,207,204.26
  5. Step 5: Solve for x
    x = 208,207,204.26/15,537.70
  6. Step 6: Final answer
    x = 13,400.13

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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.