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Finding the Fourth Proportional to 21,665.56, 32,498.34 and 7,814.56

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Solution

The fourth proportional to 21,665.56, 32,498.34 and 7,814.56 is: 11,721.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.56 : 32,498.34 = 7,814.56 : x
  2. Step 2: Convert to fraction form
    21,665.56/32,498.34 = 7,814.56/x
  3. Step 3: Cross multiply
    21,665.56x = 32,498.34 × 7,814.56
  4. Step 4: Simplify right side
    21,665.56x = 253,960,227.83
  5. Step 5: Solve for x
    x = 253,960,227.83/21,665.56
  6. Step 6: Final answer
    x = 11,721.84

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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.