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Finding the Fourth Proportional to 23,052.59, 31,815.60 and 12,983.00

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Solution

The fourth proportional to 23,052.59, 31,815.60 and 12,983.00 is: 17,918.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,052.59 : 31,815.60 = 12,983.00 : x
  2. Step 2: Convert to fraction form
    23,052.59/31,815.60 = 12,983.00/x
  3. Step 3: Cross multiply
    23,052.59x = 31,815.60 × 12,983.00
  4. Step 4: Simplify right side
    23,052.59x = 413,061,943.72
  5. Step 5: Solve for x
    x = 413,061,943.72/23,052.59
  6. Step 6: Final answer
    x = 17,918.25

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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.