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Finding the Fourth Proportional to 21,013.79, 31,512.83 and 6,971.19

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Solution

The fourth proportional to 21,013.79, 31,512.83 and 6,971.19 is: 10,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.79 : 31,512.83 = 6,971.19 : x
  2. Step 2: Convert to fraction form
    21,013.79/31,512.83 = 6,971.19/x
  3. Step 3: Cross multiply
    21,013.79x = 31,512.83 × 6,971.19
  4. Step 4: Simplify right side
    21,013.79x = 219,681,890.51
  5. Step 5: Solve for x
    x = 219,681,890.51/21,013.79
  6. Step 6: Final answer
    x = 10,454.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.