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Finding the Fourth Proportional to 13,128.68, 19,633.12 and 9,799.25

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Solution

The fourth proportional to 13,128.68, 19,633.12 and 9,799.25 is: 14,654.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,128.68 : 19,633.12 = 9,799.25 : x
  2. Step 2: Convert to fraction form
    13,128.68/19,633.12 = 9,799.25/x
  3. Step 3: Cross multiply
    13,128.68x = 19,633.12 × 9,799.25
  4. Step 4: Simplify right side
    13,128.68x = 192,389,728.50
  5. Step 5: Solve for x
    x = 192,389,728.50/13,128.68
  6. Step 6: Final answer
    x = 14,654.15

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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.