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Finding the Fourth Proportional to 17,953.92, 26,924.40 and 7,560

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Solution

The fourth proportional to 17,953.92, 26,924.40 and 7,560 is: 11,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,953.92 : 26,924.40 = 7,560 : x
  2. Step 2: Convert to fraction form
    17,953.92/26,924.40 = 7,560/x
  3. Step 3: Cross multiply
    17,953.92x = 26,924.40 × 7,560
  4. Step 4: Simplify right side
    17,953.92x = 203,548,464
  5. Step 5: Solve for x
    x = 203,548,464/17,953.92
  6. Step 6: Final answer
    x = 11,337.27

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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.