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Finding the Fourth Proportional to 12,402.61, 18,605.14 and 3,967.00

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Solution

The fourth proportional to 12,402.61, 18,605.14 and 3,967.00 is: 5,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.61 : 18,605.14 = 3,967.00 : x
  2. Step 2: Convert to fraction form
    12,402.61/18,605.14 = 3,967.00/x
  3. Step 3: Cross multiply
    12,402.61x = 18,605.14 × 3,967.00
  4. Step 4: Simplify right side
    12,402.61x = 73,806,512.23
  5. Step 5: Solve for x
    x = 73,806,512.23/12,402.61
  6. Step 6: Final answer
    x = 5,950.89

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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.