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Finding the Fourth Proportional to 12,454.01, 17,182.85 and 7,415.70

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Solution

The fourth proportional to 12,454.01, 17,182.85 and 7,415.70 is: 10,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.01 : 17,182.85 = 7,415.70 : x
  2. Step 2: Convert to fraction form
    12,454.01/17,182.85 = 7,415.70/x
  3. Step 3: Cross multiply
    12,454.01x = 17,182.85 × 7,415.70
  4. Step 4: Simplify right side
    12,454.01x = 127,422,823.67
  5. Step 5: Solve for x
    x = 127,422,823.67/12,454.01
  6. Step 6: Final answer
    x = 10,231.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.