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Finding the Fourth Proportional to 15,078.30, 22,612.03 and 5,214.90

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Solution

The fourth proportional to 15,078.30, 22,612.03 and 5,214.90 is: 7,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,078.30 : 22,612.03 = 5,214.90 : x
  2. Step 2: Convert to fraction form
    15,078.30/22,612.03 = 5,214.90/x
  3. Step 3: Cross multiply
    15,078.30x = 22,612.03 × 5,214.90
  4. Step 4: Simplify right side
    15,078.30x = 117,919,475.25
  5. Step 5: Solve for x
    x = 117,919,475.25/15,078.30
  6. Step 6: Final answer
    x = 7,820.48

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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.