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Finding the Fourth Proportional to 13,703.68, 20,554.88 and 9,531.36

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Solution

The fourth proportional to 13,703.68, 20,554.88 and 9,531.36 is: 14,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,703.68 : 20,554.88 = 9,531.36 : x
  2. Step 2: Convert to fraction form
    13,703.68/20,554.88 = 9,531.36/x
  3. Step 3: Cross multiply
    13,703.68x = 20,554.88 × 9,531.36
  4. Step 4: Simplify right side
    13,703.68x = 195,915,961.04
  5. Step 5: Solve for x
    x = 195,915,961.04/13,703.68
  6. Step 6: Final answer
    x = 14,296.59

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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.