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Finding the Fourth Proportional to 22,812.47, 31,480.87 and 12,740.80

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Solution

The fourth proportional to 22,812.47, 31,480.87 and 12,740.80 is: 17,582.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.47 : 31,480.87 = 12,740.80 : x
  2. Step 2: Convert to fraction form
    22,812.47/31,480.87 = 12,740.80/x
  3. Step 3: Cross multiply
    22,812.47x = 31,480.87 × 12,740.80
  4. Step 4: Simplify right side
    22,812.47x = 401,091,468.50
  5. Step 5: Solve for x
    x = 401,091,468.50/22,812.47
  6. Step 6: Final answer
    x = 17,582.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.