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Finding the Fourth Proportional to 23,842.32, 32,902.16 and 13,232.04

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Solution

The fourth proportional to 23,842.32, 32,902.16 and 13,232.04 is: 18,260.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,842.32 : 32,902.16 = 13,232.04 : x
  2. Step 2: Convert to fraction form
    23,842.32/32,902.16 = 13,232.04/x
  3. Step 3: Cross multiply
    23,842.32x = 32,902.16 × 13,232.04
  4. Step 4: Simplify right side
    23,842.32x = 435,362,697.21
  5. Step 5: Solve for x
    x = 435,362,697.21/23,842.32
  6. Step 6: Final answer
    x = 18,260.08

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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.