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Finding the Fourth Proportional to 24,182.64, 36,284.40 and 13,097.25

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Solution

The fourth proportional to 24,182.64, 36,284.40 and 13,097.25 is: 19,651.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,182.64 : 36,284.40 = 13,097.25 : x
  2. Step 2: Convert to fraction form
    24,182.64/36,284.40 = 13,097.25/x
  3. Step 3: Cross multiply
    24,182.64x = 36,284.40 × 13,097.25
  4. Step 4: Simplify right side
    24,182.64x = 475,225,857.90
  5. Step 5: Solve for x
    x = 475,225,857.90/24,182.64
  6. Step 6: Final answer
    x = 19,651.53

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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.