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Finding the Fourth Proportional to 25,342.52, 38,017.32 and 7,813.76

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Solution

The fourth proportional to 25,342.52, 38,017.32 and 7,813.76 is: 11,721.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,342.52 : 38,017.32 = 7,813.76 : x
  2. Step 2: Convert to fraction form
    25,342.52/38,017.32 = 7,813.76/x
  3. Step 3: Cross multiply
    25,342.52x = 38,017.32 × 7,813.76
  4. Step 4: Simplify right side
    25,342.52x = 297,058,214.32
  5. Step 5: Solve for x
    x = 297,058,214.32/25,342.52
  6. Step 6: Final answer
    x = 11,721.73

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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.