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Finding the Fourth Proportional to 12,337.83, 17,027.91 and 7,306.34

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Solution

The fourth proportional to 12,337.83, 17,027.91 and 7,306.34 is: 10,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,337.83 : 17,027.91 = 7,306.34 : x
  2. Step 2: Convert to fraction form
    12,337.83/17,027.91 = 7,306.34/x
  3. Step 3: Cross multiply
    12,337.83x = 17,027.91 × 7,306.34
  4. Step 4: Simplify right side
    12,337.83x = 124,411,614.81
  5. Step 5: Solve for x
    x = 124,411,614.81/12,337.83
  6. Step 6: Final answer
    x = 10,083.75

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