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Finding the Fourth Proportional to 13,528, 18,667.33 and 8,490.61

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Solution

The fourth proportional to 13,528, 18,667.33 and 8,490.61 is: 11,716.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528 : 18,667.33 = 8,490.61 : x
  2. Step 2: Convert to fraction form
    13,528/18,667.33 = 8,490.61/x
  3. Step 3: Cross multiply
    13,528x = 18,667.33 × 8,490.61
  4. Step 4: Simplify right side
    13,528x = 158,497,018.77
  5. Step 5: Solve for x
    x = 158,497,018.77/13,528
  6. Step 6: Final answer
    x = 11,716.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.