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Finding the Fourth Proportional to 14,255.64, 19,664.02 and 9,217.96

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Solution

The fourth proportional to 14,255.64, 19,664.02 and 9,217.96 is: 12,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,255.64 : 19,664.02 = 9,217.96 : x
  2. Step 2: Convert to fraction form
    14,255.64/19,664.02 = 9,217.96/x
  3. Step 3: Cross multiply
    14,255.64x = 19,664.02 × 9,217.96
  4. Step 4: Simplify right side
    14,255.64x = 181,262,149.80
  5. Step 5: Solve for x
    x = 181,262,149.80/14,255.64
  6. Step 6: Final answer
    x = 12,715.12

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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.