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Finding the Fourth Proportional to 19,165.82, 26,442.86 and 11,207.16

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Solution

The fourth proportional to 19,165.82, 26,442.86 and 11,207.16 is: 15,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,165.82 : 26,442.86 = 11,207.16 : x
  2. Step 2: Convert to fraction form
    19,165.82/26,442.86 = 11,207.16/x
  3. Step 3: Cross multiply
    19,165.82x = 26,442.86 × 11,207.16
  4. Step 4: Simplify right side
    19,165.82x = 296,349,306.84
  5. Step 5: Solve for x
    x = 296,349,306.84/19,165.82
  6. Step 6: Final answer
    x = 15,462.39

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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.