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Finding the Fourth Proportional to 21,724.74, 32,587.89 and 7,493.14

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Solution

The fourth proportional to 21,724.74, 32,587.89 and 7,493.14 is: 11,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,724.74 : 32,587.89 = 7,493.14 : x
  2. Step 2: Convert to fraction form
    21,724.74/32,587.89 = 7,493.14/x
  3. Step 3: Cross multiply
    21,724.74x = 32,587.89 × 7,493.14
  4. Step 4: Simplify right side
    21,724.74x = 244,185,634.71
  5. Step 5: Solve for x
    x = 244,185,634.71/21,724.74
  6. Step 6: Final answer
    x = 11,239.98

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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.