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Finding the Fourth Proportional to 27,776.40, 38,331.12 and 15,201

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Solution

The fourth proportional to 27,776.40, 38,331.12 and 15,201 is: 20,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.40 : 38,331.12 = 15,201 : x
  2. Step 2: Convert to fraction form
    27,776.40/38,331.12 = 15,201/x
  3. Step 3: Cross multiply
    27,776.40x = 38,331.12 × 15,201
  4. Step 4: Simplify right side
    27,776.40x = 582,671,355.12
  5. Step 5: Solve for x
    x = 582,671,355.12/27,776.40
  6. Step 6: Final answer
    x = 20,977.21

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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.