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Finding the Fourth Proportional to 27,557.68, 38,029.44 and 14,982.16

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Solution

The fourth proportional to 27,557.68, 38,029.44 and 14,982.16 is: 20,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,557.68 : 38,029.44 = 14,982.16 : x
  2. Step 2: Convert to fraction form
    27,557.68/38,029.44 = 14,982.16/x
  3. Step 3: Cross multiply
    27,557.68x = 38,029.44 × 14,982.16
  4. Step 4: Simplify right side
    27,557.68x = 569,763,154.79
  5. Step 5: Solve for x
    x = 569,763,154.79/27,557.68
  6. Step 6: Final answer
    x = 20,675.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.