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Finding the Fourth Proportional to 14,575.20, 20,116.08 and 9,264.48

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Solution

The fourth proportional to 14,575.20, 20,116.08 and 9,264.48 is: 12,786.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.20 : 20,116.08 = 9,264.48 : x
  2. Step 2: Convert to fraction form
    14,575.20/20,116.08 = 9,264.48/x
  3. Step 3: Cross multiply
    14,575.20x = 20,116.08 × 9,264.48
  4. Step 4: Simplify right side
    14,575.20x = 186,365,020.84
  5. Step 5: Solve for x
    x = 186,365,020.84/14,575.20
  6. Step 6: Final answer
    x = 12,786.45

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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.