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Finding the Fourth Proportional to 17,523.10, 24,181.80 and 9,565.32

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Solution

The fourth proportional to 17,523.10, 24,181.80 and 9,565.32 is: 13,200.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,523.10 : 24,181.80 = 9,565.32 : x
  2. Step 2: Convert to fraction form
    17,523.10/24,181.80 = 9,565.32/x
  3. Step 3: Cross multiply
    17,523.10x = 24,181.80 × 9,565.32
  4. Step 4: Simplify right side
    17,523.10x = 231,306,655.18
  5. Step 5: Solve for x
    x = 231,306,655.18/17,523.10
  6. Step 6: Final answer
    x = 13,200.10

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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.