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Finding the Fourth Proportional to 15,604.47, 23,386.05 and 8,193.78

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Solution

The fourth proportional to 15,604.47, 23,386.05 and 8,193.78 is: 12,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,604.47 : 23,386.05 = 8,193.78 : x
  2. Step 2: Convert to fraction form
    15,604.47/23,386.05 = 8,193.78/x
  3. Step 3: Cross multiply
    15,604.47x = 23,386.05 × 8,193.78
  4. Step 4: Simplify right side
    15,604.47x = 191,620,148.77
  5. Step 5: Solve for x
    x = 191,620,148.77/15,604.47
  6. Step 6: Final answer
    x = 12,279.82

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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.