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Finding the Fourth Proportional to 14,833.01, 20,460.66 and 9,797.24

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Solution

The fourth proportional to 14,833.01, 20,460.66 and 9,797.24 is: 13,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,833.01 : 20,460.66 = 9,797.24 : x
  2. Step 2: Convert to fraction form
    14,833.01/20,460.66 = 9,797.24/x
  3. Step 3: Cross multiply
    14,833.01x = 20,460.66 × 9,797.24
  4. Step 4: Simplify right side
    14,833.01x = 200,457,996.58
  5. Step 5: Solve for x
    x = 200,457,996.58/14,833.01
  6. Step 6: Final answer
    x = 13,514.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.