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Finding the Fourth Proportional to 12,130.34, 18,196.02 and 4,233.65

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Solution

The fourth proportional to 12,130.34, 18,196.02 and 4,233.65 is: 6,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.34 : 18,196.02 = 4,233.65 : x
  2. Step 2: Convert to fraction form
    12,130.34/18,196.02 = 4,233.65/x
  3. Step 3: Cross multiply
    12,130.34x = 18,196.02 × 4,233.65
  4. Step 4: Simplify right side
    12,130.34x = 77,035,489.09
  5. Step 5: Solve for x
    x = 77,035,489.09/12,130.34
  6. Step 6: Final answer
    x = 6,350.65

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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.