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Finding the Fourth Proportional to 12,972.79, 17,886.33 and 10,820.31

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Solution

The fourth proportional to 12,972.79, 17,886.33 and 10,820.31 is: 14,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.79 : 17,886.33 = 10,820.31 : x
  2. Step 2: Convert to fraction form
    12,972.79/17,886.33 = 10,820.31/x
  3. Step 3: Cross multiply
    12,972.79x = 17,886.33 × 10,820.31
  4. Step 4: Simplify right side
    12,972.79x = 193,535,491.83
  5. Step 5: Solve for x
    x = 193,535,491.83/12,972.79
  6. Step 6: Final answer
    x = 14,918.57

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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.