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Finding the Fourth Proportional to 15,711.98, 23,568.17 and 4,024.89

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Solution

The fourth proportional to 15,711.98, 23,568.17 and 4,024.89 is: 6,037.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.98 : 23,568.17 = 4,024.89 : x
  2. Step 2: Convert to fraction form
    15,711.98/23,568.17 = 4,024.89/x
  3. Step 3: Cross multiply
    15,711.98x = 23,568.17 × 4,024.89
  4. Step 4: Simplify right side
    15,711.98x = 94,859,271.63
  5. Step 5: Solve for x
    x = 94,859,271.63/15,711.98
  6. Step 6: Final answer
    x = 6,037.39

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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.