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Finding the Fourth Proportional to 23,462.64, 32,378.85 and 12,851.58

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Solution

The fourth proportional to 23,462.64, 32,378.85 and 12,851.58 is: 17,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462.64 : 32,378.85 = 12,851.58 : x
  2. Step 2: Convert to fraction form
    23,462.64/32,378.85 = 12,851.58/x
  3. Step 3: Cross multiply
    23,462.64x = 32,378.85 × 12,851.58
  4. Step 4: Simplify right side
    23,462.64x = 416,119,381.08
  5. Step 5: Solve for x
    x = 416,119,381.08/23,462.64
  6. Step 6: Final answer
    x = 17,735.40

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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.