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Finding the Fourth Proportional to 22,472.84, 33,693.40 and 9,986.08

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Solution

The fourth proportional to 22,472.84, 33,693.40 and 9,986.08 is: 14,972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.84 : 33,693.40 = 9,986.08 : x
  2. Step 2: Convert to fraction form
    22,472.84/33,693.40 = 9,986.08/x
  3. Step 3: Cross multiply
    22,472.84x = 33,693.40 × 9,986.08
  4. Step 4: Simplify right side
    22,472.84x = 336,464,987.87
  5. Step 5: Solve for x
    x = 336,464,987.87/22,472.84
  6. Step 6: Final answer
    x = 14,972.07

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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.