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Finding the Fourth Proportional to 17,823.76, 26,710.04 and 7,816.44

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Solution

The fourth proportional to 17,823.76, 26,710.04 and 7,816.44 is: 11,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.76 : 26,710.04 = 7,816.44 : x
  2. Step 2: Convert to fraction form
    17,823.76/26,710.04 = 7,816.44/x
  3. Step 3: Cross multiply
    17,823.76x = 26,710.04 × 7,816.44
  4. Step 4: Simplify right side
    17,823.76x = 208,777,425.06
  5. Step 5: Solve for x
    x = 208,777,425.06/17,823.76
  6. Step 6: Final answer
    x = 11,713.43

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1.5x scale

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.