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Finding the Fourth Proportional to 15,442.68, 23,159.16 and 5,052

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Solution

The fourth proportional to 15,442.68, 23,159.16 and 5,052 is: 7,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,442.68 : 23,159.16 = 5,052 : x
  2. Step 2: Convert to fraction form
    15,442.68/23,159.16 = 5,052/x
  3. Step 3: Cross multiply
    15,442.68x = 23,159.16 × 5,052
  4. Step 4: Simplify right side
    15,442.68x = 117,000,076.32
  5. Step 5: Solve for x
    x = 117,000,076.32/15,442.68
  6. Step 6: Final answer
    x = 7,576.41

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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.