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Finding the Fourth Proportional to 13,978.72, 19,290.54 and 7,691.08

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Solution

The fourth proportional to 13,978.72, 19,290.54 and 7,691.08 is: 10,613.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.72 : 19,290.54 = 7,691.08 : x
  2. Step 2: Convert to fraction form
    13,978.72/19,290.54 = 7,691.08/x
  3. Step 3: Cross multiply
    13,978.72x = 19,290.54 × 7,691.08
  4. Step 4: Simplify right side
    13,978.72x = 148,365,086.38
  5. Step 5: Solve for x
    x = 148,365,086.38/13,978.72
  6. Step 6: Final answer
    x = 10,613.64

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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.