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Finding the Fourth Proportional to 15,188.49, 22,784.55 and 6,422.25

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Solution

The fourth proportional to 15,188.49, 22,784.55 and 6,422.25 is: 9,634.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,188.49 : 22,784.55 = 6,422.25 : x
  2. Step 2: Convert to fraction form
    15,188.49/22,784.55 = 6,422.25/x
  3. Step 3: Cross multiply
    15,188.49x = 22,784.55 × 6,422.25
  4. Step 4: Simplify right side
    15,188.49x = 146,328,076.24
  5. Step 5: Solve for x
    x = 146,328,076.24/15,188.49
  6. Step 6: Final answer
    x = 9,634.14

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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.