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Finding the Fourth Proportional to 12,209.52, 18,312.06 and 3,442.35

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Solution

The fourth proportional to 12,209.52, 18,312.06 and 3,442.35 is: 5,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.52 : 18,312.06 = 3,442.35 : x
  2. Step 2: Convert to fraction form
    12,209.52/18,312.06 = 3,442.35/x
  3. Step 3: Cross multiply
    12,209.52x = 18,312.06 × 3,442.35
  4. Step 4: Simplify right side
    12,209.52x = 63,036,519.74
  5. Step 5: Solve for x
    x = 63,036,519.74/12,209.52
  6. Step 6: Final answer
    x = 5,162.90

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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.