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Finding the Fourth Proportional to 38,402.50, 57,603.75 and 9,218.50

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Solution

The fourth proportional to 38,402.50, 57,603.75 and 9,218.50 is: 13,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402.50 : 57,603.75 = 9,218.50 : x
  2. Step 2: Convert to fraction form
    38,402.50/57,603.75 = 9,218.50/x
  3. Step 3: Cross multiply
    38,402.50x = 57,603.75 × 9,218.50
  4. Step 4: Simplify right side
    38,402.50x = 531,020,169.38
  5. Step 5: Solve for x
    x = 531,020,169.38/38,402.50
  6. Step 6: Final answer
    x = 13,827.75

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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.