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Finding the Fourth Proportional to 15,681.12, 21,667.98 and 11,664.15

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Solution

The fourth proportional to 15,681.12, 21,667.98 and 11,664.15 is: 16,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,681.12 : 21,667.98 = 11,664.15 : x
  2. Step 2: Convert to fraction form
    15,681.12/21,667.98 = 11,664.15/x
  3. Step 3: Cross multiply
    15,681.12x = 21,667.98 × 11,664.15
  4. Step 4: Simplify right side
    15,681.12x = 252,738,568.92
  5. Step 5: Solve for x
    x = 252,738,568.92/15,681.12
  6. Step 6: Final answer
    x = 16,117.38

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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.