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Finding the Fourth Proportional to 23,599.32, 32,565.82 and 12,986.91

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Solution

The fourth proportional to 23,599.32, 32,565.82 and 12,986.91 is: 17,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,599.32 : 32,565.82 = 12,986.91 : x
  2. Step 2: Convert to fraction form
    23,599.32/32,565.82 = 12,986.91/x
  3. Step 3: Cross multiply
    23,599.32x = 32,565.82 × 12,986.91
  4. Step 4: Simplify right side
    23,599.32x = 422,929,373.42
  5. Step 5: Solve for x
    x = 422,929,373.42/23,599.32
  6. Step 6: Final answer
    x = 17,921.25

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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.