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Finding the Fourth Proportional to 27,167.64, 40,725.30 and 14,847

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Solution

The fourth proportional to 27,167.64, 40,725.30 and 14,847 is: 22,256.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,167.64 : 40,725.30 = 14,847 : x
  2. Step 2: Convert to fraction form
    27,167.64/40,725.30 = 14,847/x
  3. Step 3: Cross multiply
    27,167.64x = 40,725.30 × 14,847
  4. Step 4: Simplify right side
    27,167.64x = 604,648,529.10
  5. Step 5: Solve for x
    x = 604,648,529.10/27,167.64
  6. Step 6: Final answer
    x = 22,256.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.