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Finding the Fourth Proportional to 15,858.56, 21,874.90 and 10,200.68

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Solution

The fourth proportional to 15,858.56, 21,874.90 and 10,200.68 is: 14,070.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,858.56 : 21,874.90 = 10,200.68 : x
  2. Step 2: Convert to fraction form
    15,858.56/21,874.90 = 10,200.68/x
  3. Step 3: Cross multiply
    15,858.56x = 21,874.90 × 10,200.68
  4. Step 4: Simplify right side
    15,858.56x = 223,138,854.93
  5. Step 5: Solve for x
    x = 223,138,854.93/15,858.56
  6. Step 6: Final answer
    x = 14,070.56

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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.