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Finding the Fourth Proportional to 25,349.52, 38,023.86 and 7,580.22

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Solution

The fourth proportional to 25,349.52, 38,023.86 and 7,580.22 is: 11,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,349.52 : 38,023.86 = 7,580.22 : x
  2. Step 2: Convert to fraction form
    25,349.52/38,023.86 = 7,580.22/x
  3. Step 3: Cross multiply
    25,349.52x = 38,023.86 × 7,580.22
  4. Step 4: Simplify right side
    25,349.52x = 288,229,224.05
  5. Step 5: Solve for x
    x = 288,229,224.05/25,349.52
  6. Step 6: Final answer
    x = 11,370.20

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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.