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Finding the Fourth Proportional to 22,768.76, 34,159.84 and 11,683.19

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Solution

The fourth proportional to 22,768.76, 34,159.84 and 11,683.19 is: 17,528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,768.76 : 34,159.84 = 11,683.19 : x
  2. Step 2: Convert to fraction form
    22,768.76/34,159.84 = 11,683.19/x
  3. Step 3: Cross multiply
    22,768.76x = 34,159.84 × 11,683.19
  4. Step 4: Simplify right side
    22,768.76x = 399,095,957.28
  5. Step 5: Solve for x
    x = 399,095,957.28/22,768.76
  6. Step 6: Final answer
    x = 17,528.22

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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.