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Finding the Fourth Proportional to 28,182.68, 42,262.14 and 11,531.24

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Solution

The fourth proportional to 28,182.68, 42,262.14 and 11,531.24 is: 17,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,182.68 : 42,262.14 = 11,531.24 : x
  2. Step 2: Convert to fraction form
    28,182.68/42,262.14 = 11,531.24/x
  3. Step 3: Cross multiply
    28,182.68x = 42,262.14 × 11,531.24
  4. Step 4: Simplify right side
    28,182.68x = 487,334,879.25
  5. Step 5: Solve for x
    x = 487,334,879.25/28,182.68
  6. Step 6: Final answer
    x = 17,292.00

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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.