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Finding the Fourth Proportional to 15,964.92, 22,032.54 and 9,248.40

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Solution

The fourth proportional to 15,964.92, 22,032.54 and 9,248.40 is: 12,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,964.92 : 22,032.54 = 9,248.40 : x
  2. Step 2: Convert to fraction form
    15,964.92/22,032.54 = 9,248.40/x
  3. Step 3: Cross multiply
    15,964.92x = 22,032.54 × 9,248.40
  4. Step 4: Simplify right side
    15,964.92x = 203,765,742.94
  5. Step 5: Solve for x
    x = 203,765,742.94/15,964.92
  6. Step 6: Final answer
    x = 12,763.34

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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.