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Finding the Fourth Proportional to 14,676.38, 20,262.14 and 9,649.52

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Solution

The fourth proportional to 14,676.38, 20,262.14 and 9,649.52 is: 13,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,676.38 : 20,262.14 = 9,649.52 : x
  2. Step 2: Convert to fraction form
    14,676.38/20,262.14 = 9,649.52/x
  3. Step 3: Cross multiply
    14,676.38x = 20,262.14 × 9,649.52
  4. Step 4: Simplify right side
    14,676.38x = 195,519,925.17
  5. Step 5: Solve for x
    x = 195,519,925.17/14,676.38
  6. Step 6: Final answer
    x = 13,322.08

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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.