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Finding the Fourth Proportional to 12,257.69, 18,386.55 and 3,492.62

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Solution

The fourth proportional to 12,257.69, 18,386.55 and 3,492.62 is: 5,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.69 : 18,386.55 = 3,492.62 : x
  2. Step 2: Convert to fraction form
    12,257.69/18,386.55 = 3,492.62/x
  3. Step 3: Cross multiply
    12,257.69x = 18,386.55 × 3,492.62
  4. Step 4: Simplify right side
    12,257.69x = 64,217,232.26
  5. Step 5: Solve for x
    x = 64,217,232.26/12,257.69
  6. Step 6: Final answer
    x = 5,238.93

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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.