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Finding the Fourth Proportional to 15,205.84, 22,805.52 and 11,693.68

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Solution

The fourth proportional to 15,205.84, 22,805.52 and 11,693.68 is: 17,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.84 : 22,805.52 = 11,693.68 : x
  2. Step 2: Convert to fraction form
    15,205.84/22,805.52 = 11,693.68/x
  3. Step 3: Cross multiply
    15,205.84x = 22,805.52 × 11,693.68
  4. Step 4: Simplify right side
    15,205.84x = 266,680,453.11
  5. Step 5: Solve for x
    x = 266,680,453.11/15,205.84
  6. Step 6: Final answer
    x = 17,538.03

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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.