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Finding the Fourth Proportional to 15,765.92, 21,730.32 and 11,041.76

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Solution

The fourth proportional to 15,765.92, 21,730.32 and 11,041.76 is: 15,218.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765.92 : 21,730.32 = 11,041.76 : x
  2. Step 2: Convert to fraction form
    15,765.92/21,730.32 = 11,041.76/x
  3. Step 3: Cross multiply
    15,765.92x = 21,730.32 × 11,041.76
  4. Step 4: Simplify right side
    15,765.92x = 239,940,978.16
  5. Step 5: Solve for x
    x = 239,940,978.16/15,765.92
  6. Step 6: Final answer
    x = 15,218.96

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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.