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Finding the Fourth Proportional to 27,239.84, 40,838.96 and 12,438.48

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Solution

The fourth proportional to 27,239.84, 40,838.96 and 12,438.48 is: 18,648.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,239.84 : 40,838.96 = 12,438.48 : x
  2. Step 2: Convert to fraction form
    27,239.84/40,838.96 = 12,438.48/x
  3. Step 3: Cross multiply
    27,239.84x = 40,838.96 × 12,438.48
  4. Step 4: Simplify right side
    27,239.84x = 507,974,587.18
  5. Step 5: Solve for x
    x = 507,974,587.18/27,239.84
  6. Step 6: Final answer
    x = 18,648.22

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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.