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Finding the Fourth Proportional to 17,402.14, 24,015.02 and 9,444.36

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Solution

The fourth proportional to 17,402.14, 24,015.02 and 9,444.36 is: 13,033.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,402.14 : 24,015.02 = 9,444.36 : x
  2. Step 2: Convert to fraction form
    17,402.14/24,015.02 = 9,444.36/x
  3. Step 3: Cross multiply
    17,402.14x = 24,015.02 × 9,444.36
  4. Step 4: Simplify right side
    17,402.14x = 226,806,447.07
  5. Step 5: Solve for x
    x = 226,806,447.07/17,402.14
  6. Step 6: Final answer
    x = 13,033.25

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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.