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Finding the Fourth Proportional to 23,014.40, 31,761.04 and 12,944.48

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Solution

The fourth proportional to 23,014.40, 31,761.04 and 12,944.48 is: 17,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.40 : 31,761.04 = 12,944.48 : x
  2. Step 2: Convert to fraction form
    23,014.40/31,761.04 = 12,944.48/x
  3. Step 3: Cross multiply
    23,014.40x = 31,761.04 × 12,944.48
  4. Step 4: Simplify right side
    23,014.40x = 411,130,147.06
  5. Step 5: Solve for x
    x = 411,130,147.06/23,014.40
  6. Step 6: Final answer
    x = 17,864.04

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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.