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Finding the Fourth Proportional to 27,972.81, 38,603.18 and 16,040.03

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Solution

The fourth proportional to 27,972.81, 38,603.18 and 16,040.03 is: 22,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,972.81 : 38,603.18 = 16,040.03 : x
  2. Step 2: Convert to fraction form
    27,972.81/38,603.18 = 16,040.03/x
  3. Step 3: Cross multiply
    27,972.81x = 38,603.18 × 16,040.03
  4. Step 4: Simplify right side
    27,972.81x = 619,196,012.38
  5. Step 5: Solve for x
    x = 619,196,012.38/27,972.81
  6. Step 6: Final answer
    x = 22,135.64

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Why These Related Problems?

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