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Finding the Fourth Proportional to 12,102.33, 18,110.97 and 7,421.07

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Solution

The fourth proportional to 12,102.33, 18,110.97 and 7,421.07 is: 11,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,102.33 : 18,110.97 = 7,421.07 : x
  2. Step 2: Convert to fraction form
    12,102.33/18,110.97 = 7,421.07/x
  3. Step 3: Cross multiply
    12,102.33x = 18,110.97 × 7,421.07
  4. Step 4: Simplify right side
    12,102.33x = 134,402,776.14
  5. Step 5: Solve for x
    x = 134,402,776.14/12,102.33
  6. Step 6: Final answer
    x = 11,105.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.