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Finding the Fourth Proportional to 15,957.96, 22,023.18 and 9,245.40

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Solution

The fourth proportional to 15,957.96, 22,023.18 and 9,245.40 is: 12,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,957.96 : 22,023.18 = 9,245.40 : x
  2. Step 2: Convert to fraction form
    15,957.96/22,023.18 = 9,245.40/x
  3. Step 3: Cross multiply
    15,957.96x = 22,023.18 × 9,245.40
  4. Step 4: Simplify right side
    15,957.96x = 203,613,108.37
  5. Step 5: Solve for x
    x = 203,613,108.37/15,957.96
  6. Step 6: Final answer
    x = 12,759.34

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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.