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Finding the Fourth Proportional to 14,952.66, 20,633.11 and 9,209.19

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Solution

The fourth proportional to 14,952.66, 20,633.11 and 9,209.19 is: 12,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,952.66 : 20,633.11 = 9,209.19 : x
  2. Step 2: Convert to fraction form
    14,952.66/20,633.11 = 9,209.19/x
  3. Step 3: Cross multiply
    14,952.66x = 20,633.11 × 9,209.19
  4. Step 4: Simplify right side
    14,952.66x = 190,014,230.28
  5. Step 5: Solve for x
    x = 190,014,230.28/14,952.66
  6. Step 6: Final answer
    x = 12,707.72

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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.