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Finding the Fourth Proportional to 15,815.60, 21,826.38 and 8,742.68

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Solution

The fourth proportional to 15,815.60, 21,826.38 and 8,742.68 is: 12,065.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,815.60 : 21,826.38 = 8,742.68 : x
  2. Step 2: Convert to fraction form
    15,815.60/21,826.38 = 8,742.68/x
  3. Step 3: Cross multiply
    15,815.60x = 21,826.38 × 8,742.68
  4. Step 4: Simplify right side
    15,815.60x = 190,821,055.90
  5. Step 5: Solve for x
    x = 190,821,055.90/15,815.60
  6. Step 6: Final answer
    x = 12,065.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.