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Finding the Fourth Proportional to 24,774.56, 37,172.25 and 15,422.40

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Solution

The fourth proportional to 24,774.56, 37,172.25 and 15,422.40 is: 23,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.56 : 37,172.25 = 15,422.40 : x
  2. Step 2: Convert to fraction form
    24,774.56/37,172.25 = 15,422.40/x
  3. Step 3: Cross multiply
    24,774.56x = 37,172.25 × 15,422.40
  4. Step 4: Simplify right side
    24,774.56x = 573,285,176.91
  5. Step 5: Solve for x
    x = 573,285,176.91/24,774.56
  6. Step 6: Final answer
    x = 23,140.08

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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.