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Finding the Fourth Proportional to 12,334.23, 18,507.42 and 7,652.97

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Solution

The fourth proportional to 12,334.23, 18,507.42 and 7,652.97 is: 11,483.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,334.23 : 18,507.42 = 7,652.97 : x
  2. Step 2: Convert to fraction form
    12,334.23/18,507.42 = 7,652.97/x
  3. Step 3: Cross multiply
    12,334.23x = 18,507.42 × 7,652.97
  4. Step 4: Simplify right side
    12,334.23x = 141,636,730.04
  5. Step 5: Solve for x
    x = 141,636,730.04/12,334.23
  6. Step 6: Final answer
    x = 11,483.22

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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.