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Finding the Fourth Proportional to 12,209.61, 18,312.78 and 3,445.23

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Solution

The fourth proportional to 12,209.61, 18,312.78 and 3,445.23 is: 5,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.61 : 18,312.78 = 3,445.23 : x
  2. Step 2: Convert to fraction form
    12,209.61/18,312.78 = 3,445.23/x
  3. Step 3: Cross multiply
    12,209.61x = 18,312.78 × 3,445.23
  4. Step 4: Simplify right side
    12,209.61x = 63,091,739.04
  5. Step 5: Solve for x
    x = 63,091,739.04/12,209.61
  6. Step 6: Final answer
    x = 5,167.38

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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.