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Finding the Fourth Proportional to 23,178.96, 31,987 and 12,568.54

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Solution

The fourth proportional to 23,178.96, 31,987 and 12,568.54 is: 17,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,178.96 : 31,987 = 12,568.54 : x
  2. Step 2: Convert to fraction form
    23,178.96/31,987 = 12,568.54/x
  3. Step 3: Cross multiply
    23,178.96x = 31,987 × 12,568.54
  4. Step 4: Simplify right side
    23,178.96x = 402,029,888.98
  5. Step 5: Solve for x
    x = 402,029,888.98/23,178.96
  6. Step 6: Final answer
    x = 17,344.60

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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.