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Finding the Fourth Proportional to 12,403.90, 17,117.08 and 7,098.38

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Solution

The fourth proportional to 12,403.90, 17,117.08 and 7,098.38 is: 9,795.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,403.90 : 17,117.08 = 7,098.38 : x
  2. Step 2: Convert to fraction form
    12,403.90/17,117.08 = 7,098.38/x
  3. Step 3: Cross multiply
    12,403.90x = 17,117.08 × 7,098.38
  4. Step 4: Simplify right side
    12,403.90x = 121,503,538.33
  5. Step 5: Solve for x
    x = 121,503,538.33/12,403.90
  6. Step 6: Final answer
    x = 9,795.59

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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.