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Finding the Fourth Proportional to 14,603.73, 21,905.91 and 4,742.97

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Solution

The fourth proportional to 14,603.73, 21,905.91 and 4,742.97 is: 7,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,603.73 : 21,905.91 = 4,742.97 : x
  2. Step 2: Convert to fraction form
    14,603.73/21,905.91 = 4,742.97/x
  3. Step 3: Cross multiply
    14,603.73x = 21,905.91 × 4,742.97
  4. Step 4: Simplify right side
    14,603.73x = 103,899,073.95
  5. Step 5: Solve for x
    x = 103,899,073.95/14,603.73
  6. Step 6: Final answer
    x = 7,114.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.