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Finding the Fourth Proportional to 23,009.56, 31,752.46 and 12,938.44

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Solution

The fourth proportional to 23,009.56, 31,752.46 and 12,938.44 is: 17,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.56 : 31,752.46 = 12,938.44 : x
  2. Step 2: Convert to fraction form
    23,009.56/31,752.46 = 12,938.44/x
  3. Step 3: Cross multiply
    23,009.56x = 31,752.46 × 12,938.44
  4. Step 4: Simplify right side
    23,009.56x = 410,827,298.56
  5. Step 5: Solve for x
    x = 410,827,298.56/23,009.56
  6. Step 6: Final answer
    x = 17,854.64

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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.