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Finding the Fourth Proportional to 13,417, 18,489.84 and 9,833.02

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Solution

The fourth proportional to 13,417, 18,489.84 and 9,833.02 is: 13,550.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417 : 18,489.84 = 9,833.02 : x
  2. Step 2: Convert to fraction form
    13,417/18,489.84 = 9,833.02/x
  3. Step 3: Cross multiply
    13,417x = 18,489.84 × 9,833.02
  4. Step 4: Simplify right side
    13,417x = 181,810,966.52
  5. Step 5: Solve for x
    x = 181,810,966.52/13,417
  6. Step 6: Final answer
    x = 13,550.79

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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.