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Finding the Fourth Proportional to 38,277.90, 57,413.13 and 11,624.12

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Solution

The fourth proportional to 38,277.90, 57,413.13 and 11,624.12 is: 17,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,277.90 : 57,413.13 = 11,624.12 : x
  2. Step 2: Convert to fraction form
    38,277.90/57,413.13 = 11,624.12/x
  3. Step 3: Cross multiply
    38,277.90x = 57,413.13 × 11,624.12
  4. Step 4: Simplify right side
    38,277.90x = 667,376,767.51
  5. Step 5: Solve for x
    x = 667,376,767.51/38,277.90
  6. Step 6: Final answer
    x = 17,435.04

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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.