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Finding the Fourth Proportional to 27,101.84, 40,656.04 and 9,568.08

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Solution

The fourth proportional to 27,101.84, 40,656.04 and 9,568.08 is: 14,353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,101.84 : 40,656.04 = 9,568.08 : x
  2. Step 2: Convert to fraction form
    27,101.84/40,656.04 = 9,568.08/x
  3. Step 3: Cross multiply
    27,101.84x = 40,656.04 × 9,568.08
  4. Step 4: Simplify right side
    27,101.84x = 389,000,243.20
  5. Step 5: Solve for x
    x = 389,000,243.20/27,101.84
  6. Step 6: Final answer
    x = 14,353.28

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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.