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Finding the Fourth Proportional to 11,870.84, 17,824.78 and 11,345.04

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Solution

The fourth proportional to 11,870.84, 17,824.78 and 11,345.04 is: 17,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,870.84 : 17,824.78 = 11,345.04 : x
  2. Step 2: Convert to fraction form
    11,870.84/17,824.78 = 11,345.04/x
  3. Step 3: Cross multiply
    11,870.84x = 17,824.78 × 11,345.04
  4. Step 4: Simplify right side
    11,870.84x = 202,222,842.09
  5. Step 5: Solve for x
    x = 202,222,842.09/11,870.84
  6. Step 6: Final answer
    x = 17,035.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.