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Finding the Fourth Proportional to 27,132.55, 40,698.83 and 7,413.10

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Solution

The fourth proportional to 27,132.55, 40,698.83 and 7,413.10 is: 11,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,132.55 : 40,698.83 = 7,413.10 : x
  2. Step 2: Convert to fraction form
    27,132.55/40,698.83 = 7,413.10/x
  3. Step 3: Cross multiply
    27,132.55x = 40,698.83 × 7,413.10
  4. Step 4: Simplify right side
    27,132.55x = 301,704,459.61
  5. Step 5: Solve for x
    x = 301,704,459.61/27,132.55
  6. Step 6: Final answer
    x = 11,119.65

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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.