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Finding the Fourth Proportional to 23,884.71, 35,827.14 and 7,244.88

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Solution

The fourth proportional to 23,884.71, 35,827.14 and 7,244.88 is: 10,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,884.71 : 35,827.14 = 7,244.88 : x
  2. Step 2: Convert to fraction form
    23,884.71/35,827.14 = 7,244.88/x
  3. Step 3: Cross multiply
    23,884.71x = 35,827.14 × 7,244.88
  4. Step 4: Simplify right side
    23,884.71x = 259,563,330.04
  5. Step 5: Solve for x
    x = 259,563,330.04/23,884.71
  6. Step 6: Final answer
    x = 10,867.35

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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.