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Finding the Fourth Proportional to 23,019.09, 31,764.12 and 12,951.03

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Solution

The fourth proportional to 23,019.09, 31,764.12 and 12,951.03 is: 17,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,019.09 : 31,764.12 = 12,951.03 : x
  2. Step 2: Convert to fraction form
    23,019.09/31,764.12 = 12,951.03/x
  3. Step 3: Cross multiply
    23,019.09x = 31,764.12 × 12,951.03
  4. Step 4: Simplify right side
    23,019.09x = 411,378,027.53
  5. Step 5: Solve for x
    x = 411,378,027.53/23,019.09
  6. Step 6: Final answer
    x = 17,871.17

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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.