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Finding the Fourth Proportional to 17,710.32, 26,565.52 and 9,914.88

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Solution

The fourth proportional to 17,710.32, 26,565.52 and 9,914.88 is: 14,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,710.32 : 26,565.52 = 9,914.88 : x
  2. Step 2: Convert to fraction form
    17,710.32/26,565.52 = 9,914.88/x
  3. Step 3: Cross multiply
    17,710.32x = 26,565.52 × 9,914.88
  4. Step 4: Simplify right side
    17,710.32x = 263,393,942.94
  5. Step 5: Solve for x
    x = 263,393,942.94/17,710.32
  6. Step 6: Final answer
    x = 14,872.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.