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Finding the Fourth Proportional to 17,833.69, 24,603.42 and 11,459.31

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Solution

The fourth proportional to 17,833.69, 24,603.42 and 11,459.31 is: 15,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,833.69 : 24,603.42 = 11,459.31 : x
  2. Step 2: Convert to fraction form
    17,833.69/24,603.42 = 11,459.31/x
  3. Step 3: Cross multiply
    17,833.69x = 24,603.42 × 11,459.31
  4. Step 4: Simplify right side
    17,833.69x = 281,938,216.84
  5. Step 5: Solve for x
    x = 281,938,216.84/17,833.69
  6. Step 6: Final answer
    x = 15,809.30

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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.