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Finding the Fourth Proportional to 28,111.94, 42,174.31 and 9,642.82

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Solution

The fourth proportional to 28,111.94, 42,174.31 and 9,642.82 is: 14,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,111.94 : 42,174.31 = 9,642.82 : x
  2. Step 2: Convert to fraction form
    28,111.94/42,174.31 = 9,642.82/x
  3. Step 3: Cross multiply
    28,111.94x = 42,174.31 × 9,642.82
  4. Step 4: Simplify right side
    28,111.94x = 406,679,279.95
  5. Step 5: Solve for x
    x = 406,679,279.95/28,111.94
  6. Step 6: Final answer
    x = 14,466.43

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