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Finding the Fourth Proportional to 19,779.39, 27,294.44 and 10,825.11

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Solution

The fourth proportional to 19,779.39, 27,294.44 and 10,825.11 is: 14,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,779.39 : 27,294.44 = 10,825.11 : x
  2. Step 2: Convert to fraction form
    19,779.39/27,294.44 = 10,825.11/x
  3. Step 3: Cross multiply
    19,779.39x = 27,294.44 × 10,825.11
  4. Step 4: Simplify right side
    19,779.39x = 295,465,261.26
  5. Step 5: Solve for x
    x = 295,465,261.26/19,779.39
  6. Step 6: Final answer
    x = 14,938.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.