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Finding the Fourth Proportional to 22,812.55, 31,480.97 and 12,741.16

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Solution

The fourth proportional to 22,812.55, 31,480.97 and 12,741.16 is: 17,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,812.55 : 31,480.97 = 12,741.16 : x
  2. Step 2: Convert to fraction form
    22,812.55/31,480.97 = 12,741.16/x
  3. Step 3: Cross multiply
    22,812.55x = 31,480.97 × 12,741.16
  4. Step 4: Simplify right side
    22,812.55x = 401,103,950.17
  5. Step 5: Solve for x
    x = 401,103,950.17/22,812.55
  6. Step 6: Final answer
    x = 17,582.60

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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.