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Finding the Fourth Proportional to 23,054.28, 31,814.58 and 12,983.70

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Solution

The fourth proportional to 23,054.28, 31,814.58 and 12,983.70 is: 17,917.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,054.28 : 31,814.58 = 12,983.70 : x
  2. Step 2: Convert to fraction form
    23,054.28/31,814.58 = 12,983.70/x
  3. Step 3: Cross multiply
    23,054.28x = 31,814.58 × 12,983.70
  4. Step 4: Simplify right side
    23,054.28x = 413,070,962.35
  5. Step 5: Solve for x
    x = 413,070,962.35/23,054.28
  6. Step 6: Final answer
    x = 17,917.32

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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.