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Finding the Fourth Proportional to 23,059.76, 31,822.96 and 12,988

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Solution

The fourth proportional to 23,059.76, 31,822.96 and 12,988 is: 17,923.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,059.76 : 31,822.96 = 12,988 : x
  2. Step 2: Convert to fraction form
    23,059.76/31,822.96 = 12,988/x
  3. Step 3: Cross multiply
    23,059.76x = 31,822.96 × 12,988
  4. Step 4: Simplify right side
    23,059.76x = 413,316,604.48
  5. Step 5: Solve for x
    x = 413,316,604.48/23,059.76
  6. Step 6: Final answer
    x = 17,923.72

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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.