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Finding the Fourth Proportional to 15,532.16, 23,281.48 and 7,625.48

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Solution

The fourth proportional to 15,532.16, 23,281.48 and 7,625.48 is: 11,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,532.16 : 23,281.48 = 7,625.48 : x
  2. Step 2: Convert to fraction form
    15,532.16/23,281.48 = 7,625.48/x
  3. Step 3: Cross multiply
    15,532.16x = 23,281.48 × 7,625.48
  4. Step 4: Simplify right side
    15,532.16x = 177,532,310.34
  5. Step 5: Solve for x
    x = 177,532,310.34/15,532.16
  6. Step 6: Final answer
    x = 11,429.99

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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.