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Finding the Fourth Proportional to 14,547.86, 20,077.96 and 8,881.44

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Solution

The fourth proportional to 14,547.86, 20,077.96 and 8,881.44 is: 12,257.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.86 : 20,077.96 = 8,881.44 : x
  2. Step 2: Convert to fraction form
    14,547.86/20,077.96 = 8,881.44/x
  3. Step 3: Cross multiply
    14,547.86x = 20,077.96 × 8,881.44
  4. Step 4: Simplify right side
    14,547.86x = 178,321,197.06
  5. Step 5: Solve for x
    x = 178,321,197.06/14,547.86
  6. Step 6: Final answer
    x = 12,257.56

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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.