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Finding the Fourth Proportional to 12,277.98, 18,402.04 and 5,605.30

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Solution

The fourth proportional to 12,277.98, 18,402.04 and 5,605.30 is: 8,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.98 : 18,402.04 = 5,605.30 : x
  2. Step 2: Convert to fraction form
    12,277.98/18,402.04 = 5,605.30/x
  3. Step 3: Cross multiply
    12,277.98x = 18,402.04 × 5,605.30
  4. Step 4: Simplify right side
    12,277.98x = 103,148,953.29
  5. Step 5: Solve for x
    x = 103,148,953.29/12,277.98
  6. Step 6: Final answer
    x = 8,401.13

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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.