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Finding the Fourth Proportional to 11,929.84, 17,902.02 and 7,541.24

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Solution

The fourth proportional to 11,929.84, 17,902.02 and 7,541.24 is: 11,316.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,929.84 : 17,902.02 = 7,541.24 : x
  2. Step 2: Convert to fraction form
    11,929.84/17,902.02 = 7,541.24/x
  3. Step 3: Cross multiply
    11,929.84x = 17,902.02 × 7,541.24
  4. Step 4: Simplify right side
    11,929.84x = 135,003,429.30
  5. Step 5: Solve for x
    x = 135,003,429.30/11,929.84
  6. Step 6: Final answer
    x = 11,316.45

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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.