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Finding the Fourth Proportional to 23,264.25, 32,105.07 and 12,654.06

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Solution

The fourth proportional to 23,264.25, 32,105.07 and 12,654.06 is: 17,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,264.25 : 32,105.07 = 12,654.06 : x
  2. Step 2: Convert to fraction form
    23,264.25/32,105.07 = 12,654.06/x
  3. Step 3: Cross multiply
    23,264.25x = 32,105.07 × 12,654.06
  4. Step 4: Simplify right side
    23,264.25x = 406,259,482.08
  5. Step 5: Solve for x
    x = 406,259,482.08/23,264.25
  6. Step 6: Final answer
    x = 17,462.82

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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.