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Finding the Fourth Proportional to 15,532.40, 23,302.12 and 5,671.74

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Solution

The fourth proportional to 15,532.40, 23,302.12 and 5,671.74 is: 8,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,532.40 : 23,302.12 = 5,671.74 : x
  2. Step 2: Convert to fraction form
    15,532.40/23,302.12 = 5,671.74/x
  3. Step 3: Cross multiply
    15,532.40x = 23,302.12 × 5,671.74
  4. Step 4: Simplify right side
    15,532.40x = 132,163,566.09
  5. Step 5: Solve for x
    x = 132,163,566.09/15,532.40
  6. Step 6: Final answer
    x = 8,508.90

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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.