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Finding the Fourth Proportional to 14,642.85, 20,204.96 and 8,897.32

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Solution

The fourth proportional to 14,642.85, 20,204.96 and 8,897.32 is: 12,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,642.85 : 20,204.96 = 8,897.32 : x
  2. Step 2: Convert to fraction form
    14,642.85/20,204.96 = 8,897.32/x
  3. Step 3: Cross multiply
    14,642.85x = 20,204.96 × 8,897.32
  4. Step 4: Simplify right side
    14,642.85x = 179,769,849.20
  5. Step 5: Solve for x
    x = 179,769,849.20/14,642.85
  6. Step 6: Final answer
    x = 12,276.98

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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.