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Finding the Fourth Proportional to 14,712.68, 20,302.64 and 7,998.25

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Solution

The fourth proportional to 14,712.68, 20,302.64 and 7,998.25 is: 11,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,712.68 : 20,302.64 = 7,998.25 : x
  2. Step 2: Convert to fraction form
    14,712.68/20,302.64 = 7,998.25/x
  3. Step 3: Cross multiply
    14,712.68x = 20,302.64 × 7,998.25
  4. Step 4: Simplify right side
    14,712.68x = 162,385,590.38
  5. Step 5: Solve for x
    x = 162,385,590.38/14,712.68
  6. Step 6: Final answer
    x = 11,037.12

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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.