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Finding the Fourth Proportional to 27,132.96, 40,695.21 and 7,413.12

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Solution

The fourth proportional to 27,132.96, 40,695.21 and 7,413.12 is: 11,118.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.96 : 40,695.21 = 7,413.12 : x
  2. Step 2: Convert to fraction form
    27,132.96/40,695.21 = 7,413.12/x
  3. Step 3: Cross multiply
    27,132.96x = 40,695.21 × 7,413.12
  4. Step 4: Simplify right side
    27,132.96x = 301,678,475.16
  5. Step 5: Solve for x
    x = 301,678,475.16/27,132.96
  6. Step 6: Final answer
    x = 11,118.52

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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.