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Finding the Fourth Proportional to 17,787.96, 26,698.68 and 9,029.16

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Solution

The fourth proportional to 17,787.96, 26,698.68 and 9,029.16 is: 13,552.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.96 : 26,698.68 = 9,029.16 : x
  2. Step 2: Convert to fraction form
    17,787.96/26,698.68 = 9,029.16/x
  3. Step 3: Cross multiply
    17,787.96x = 26,698.68 × 9,029.16
  4. Step 4: Simplify right side
    17,787.96x = 241,066,653.51
  5. Step 5: Solve for x
    x = 241,066,653.51/17,787.96
  6. Step 6: Final answer
    x = 13,552.24

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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.