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Finding the Fourth Proportional to 23,454.65, 32,373.11 and 14,496.75

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Solution

The fourth proportional to 23,454.65, 32,373.11 and 14,496.75 is: 20,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454.65 : 32,373.11 = 14,496.75 : x
  2. Step 2: Convert to fraction form
    23,454.65/32,373.11 = 14,496.75/x
  3. Step 3: Cross multiply
    23,454.65x = 32,373.11 × 14,496.75
  4. Step 4: Simplify right side
    23,454.65x = 469,304,918.63
  5. Step 5: Solve for x
    x = 469,304,918.63/23,454.65
  6. Step 6: Final answer
    x = 20,009.03

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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.