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Finding the Fourth Proportional to 11,426.86, 17,118.42 and 9,203.41

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Solution

The fourth proportional to 11,426.86, 17,118.42 and 9,203.41 is: 13,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,426.86 : 17,118.42 = 9,203.41 : x
  2. Step 2: Convert to fraction form
    11,426.86/17,118.42 = 9,203.41/x
  3. Step 3: Cross multiply
    11,426.86x = 17,118.42 × 9,203.41
  4. Step 4: Simplify right side
    11,426.86x = 157,547,837.81
  5. Step 5: Solve for x
    x = 157,547,837.81/11,426.86
  6. Step 6: Final answer
    x = 13,787.50

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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.