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Finding the Fourth Proportional to 30,695.14, 42,362.91 and 17,266.90

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Solution

The fourth proportional to 30,695.14, 42,362.91 and 17,266.90 is: 23,830.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,695.14 : 42,362.91 = 17,266.90 : x
  2. Step 2: Convert to fraction form
    30,695.14/42,362.91 = 17,266.90/x
  3. Step 3: Cross multiply
    30,695.14x = 42,362.91 × 17,266.90
  4. Step 4: Simplify right side
    30,695.14x = 731,476,130.68
  5. Step 5: Solve for x
    x = 731,476,130.68/30,695.14
  6. Step 6: Final answer
    x = 23,830.36

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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.