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Finding the Fourth Proportional to 23,308.32, 32,165.32 and 12,697.88

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Solution

The fourth proportional to 23,308.32, 32,165.32 and 12,697.88 is: 17,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,308.32 : 32,165.32 = 12,697.88 : x
  2. Step 2: Convert to fraction form
    23,308.32/32,165.32 = 12,697.88/x
  3. Step 3: Cross multiply
    23,308.32x = 32,165.32 × 12,697.88
  4. Step 4: Simplify right side
    23,308.32x = 408,431,373.52
  5. Step 5: Solve for x
    x = 408,431,373.52/23,308.32
  6. Step 6: Final answer
    x = 17,522.99

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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.