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Finding the Fourth Proportional to 15,770, 21,766.92 and 10,741.52

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Solution

The fourth proportional to 15,770, 21,766.92 and 10,741.52 is: 14,826.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770 : 21,766.92 = 10,741.52 : x
  2. Step 2: Convert to fraction form
    15,770/21,766.92 = 10,741.52/x
  3. Step 3: Cross multiply
    15,770x = 21,766.92 × 10,741.52
  4. Step 4: Simplify right side
    15,770x = 233,809,806.52
  5. Step 5: Solve for x
    x = 233,809,806.52/15,770
  6. Step 6: Final answer
    x = 14,826.24

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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.