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Finding the Fourth Proportional to 12,277.21, 18,423.88 and 6,734.45

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Solution

The fourth proportional to 12,277.21, 18,423.88 and 6,734.45 is: 10,106.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.21 : 18,423.88 = 6,734.45 : x
  2. Step 2: Convert to fraction form
    12,277.21/18,423.88 = 6,734.45/x
  3. Step 3: Cross multiply
    12,277.21x = 18,423.88 × 6,734.45
  4. Step 4: Simplify right side
    12,277.21x = 124,074,606.55
  5. Step 5: Solve for x
    x = 124,074,606.55/12,277.21
  6. Step 6: Final answer
    x = 10,106.10

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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.