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Finding the Fourth Proportional to 14,714.93, 20,301.64 and 8,340.84

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Solution

The fourth proportional to 14,714.93, 20,301.64 and 8,340.84 is: 11,507.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,714.93 : 20,301.64 = 8,340.84 : x
  2. Step 2: Convert to fraction form
    14,714.93/20,301.64 = 8,340.84/x
  3. Step 3: Cross multiply
    14,714.93x = 20,301.64 × 8,340.84
  4. Step 4: Simplify right side
    14,714.93x = 169,332,710.13
  5. Step 5: Solve for x
    x = 169,332,710.13/14,714.93
  6. Step 6: Final answer
    x = 11,507.54

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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.