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Finding the Fourth Proportional to 23,654.06, 32,642.18 and 12,899.10

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Solution

The fourth proportional to 23,654.06, 32,642.18 and 12,899.10 is: 17,800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,654.06 : 32,642.18 = 12,899.10 : x
  2. Step 2: Convert to fraction form
    23,654.06/32,642.18 = 12,899.10/x
  3. Step 3: Cross multiply
    23,654.06x = 32,642.18 × 12,899.10
  4. Step 4: Simplify right side
    23,654.06x = 421,054,744.04
  5. Step 5: Solve for x
    x = 421,054,744.04/23,654.06
  6. Step 6: Final answer
    x = 17,800.53

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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.