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Finding the Fourth Proportional to 15,884.74, 21,918 and 10,292.50

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Solution

The fourth proportional to 15,884.74, 21,918 and 10,292.50 is: 14,201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,884.74 : 21,918 = 10,292.50 : x
  2. Step 2: Convert to fraction form
    15,884.74/21,918 = 10,292.50/x
  3. Step 3: Cross multiply
    15,884.74x = 21,918 × 10,292.50
  4. Step 4: Simplify right side
    15,884.74x = 225,591,015
  5. Step 5: Solve for x
    x = 225,591,015/15,884.74
  6. Step 6: Final answer
    x = 14,201.74

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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.