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Finding the Fourth Proportional to 20,274.81, 30,413.85 and 7,130.13

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Solution

The fourth proportional to 20,274.81, 30,413.85 and 7,130.13 is: 10,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,274.81 : 30,413.85 = 7,130.13 : x
  2. Step 2: Convert to fraction form
    20,274.81/30,413.85 = 7,130.13/x
  3. Step 3: Cross multiply
    20,274.81x = 30,413.85 × 7,130.13
  4. Step 4: Simplify right side
    20,274.81x = 216,854,668.65
  5. Step 5: Solve for x
    x = 216,854,668.65/20,274.81
  6. Step 6: Final answer
    x = 10,695.77

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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.