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Finding the Fourth Proportional to 14,549.59, 20,072.23 and 9,162.46

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Solution

The fourth proportional to 14,549.59, 20,072.23 and 9,162.46 is: 12,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,549.59 : 20,072.23 = 9,162.46 : x
  2. Step 2: Convert to fraction form
    14,549.59/20,072.23 = 9,162.46/x
  3. Step 3: Cross multiply
    14,549.59x = 20,072.23 × 9,162.46
  4. Step 4: Simplify right side
    14,549.59x = 183,911,004.49
  5. Step 5: Solve for x
    x = 183,911,004.49/14,549.59
  6. Step 6: Final answer
    x = 12,640.29

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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.