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Finding the Fourth Proportional to 21,167.68, 31,708.98 and 10,085.08

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Solution

The fourth proportional to 21,167.68, 31,708.98 and 10,085.08 is: 15,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.68 : 31,708.98 = 10,085.08 : x
  2. Step 2: Convert to fraction form
    21,167.68/31,708.98 = 10,085.08/x
  3. Step 3: Cross multiply
    21,167.68x = 31,708.98 × 10,085.08
  4. Step 4: Simplify right side
    21,167.68x = 319,787,600.02
  5. Step 5: Solve for x
    x = 319,787,600.02/21,167.68
  6. Step 6: Final answer
    x = 15,107.35

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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.