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Finding the Fourth Proportional to 14,589.72, 20,133.80 and 8,302.12

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Solution

The fourth proportional to 14,589.72, 20,133.80 and 8,302.12 is: 11,456.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,589.72 : 20,133.80 = 8,302.12 : x
  2. Step 2: Convert to fraction form
    14,589.72/20,133.80 = 8,302.12/x
  3. Step 3: Cross multiply
    14,589.72x = 20,133.80 × 8,302.12
  4. Step 4: Simplify right side
    14,589.72x = 167,153,223.66
  5. Step 5: Solve for x
    x = 167,153,223.66/14,589.72
  6. Step 6: Final answer
    x = 11,456.92

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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.