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Finding the Fourth Proportional to 23,452.64, 32,364.66 and 12,842.32

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Solution

The fourth proportional to 23,452.64, 32,364.66 and 12,842.32 is: 17,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,452.64 : 32,364.66 = 12,842.32 : x
  2. Step 2: Convert to fraction form
    23,452.64/32,364.66 = 12,842.32/x
  3. Step 3: Cross multiply
    23,452.64x = 32,364.66 × 12,842.32
  4. Step 4: Simplify right side
    23,452.64x = 415,637,320.41
  5. Step 5: Solve for x
    x = 415,637,320.41/23,452.64
  6. Step 6: Final answer
    x = 17,722.41

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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.