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Finding the Fourth Proportional to 21,681.75, 32,497.84 and 9,844.54

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Solution

The fourth proportional to 21,681.75, 32,497.84 and 9,844.54 is: 14,755.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,681.75 : 32,497.84 = 9,844.54 : x
  2. Step 2: Convert to fraction form
    21,681.75/32,497.84 = 9,844.54/x
  3. Step 3: Cross multiply
    21,681.75x = 32,497.84 × 9,844.54
  4. Step 4: Simplify right side
    21,681.75x = 319,926,285.79
  5. Step 5: Solve for x
    x = 319,926,285.79/21,681.75
  6. Step 6: Final answer
    x = 14,755.56

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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.