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Finding the Fourth Proportional to 24,642.64, 36,971.80 and 8,836.96

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Solution

The fourth proportional to 24,642.64, 36,971.80 and 8,836.96 is: 13,258.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.64 : 36,971.80 = 8,836.96 : x
  2. Step 2: Convert to fraction form
    24,642.64/36,971.80 = 8,836.96/x
  3. Step 3: Cross multiply
    24,642.64x = 36,971.80 × 8,836.96
  4. Step 4: Simplify right side
    24,642.64x = 326,718,317.73
  5. Step 5: Solve for x
    x = 326,718,317.73/24,642.64
  6. Step 6: Final answer
    x = 13,258.25

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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.