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Finding the Fourth Proportional to 15,442.76, 23,152.62 and 7,232.84

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Solution

The fourth proportional to 15,442.76, 23,152.62 and 7,232.84 is: 10,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.76 : 23,152.62 = 7,232.84 : x
  2. Step 2: Convert to fraction form
    15,442.76/23,152.62 = 7,232.84/x
  3. Step 3: Cross multiply
    15,442.76x = 23,152.62 × 7,232.84
  4. Step 4: Simplify right side
    15,442.76x = 167,459,196.04
  5. Step 5: Solve for x
    x = 167,459,196.04/15,442.76
  6. Step 6: Final answer
    x = 10,843.86

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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.