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Finding the Fourth Proportional to 17,537.19, 24,208.16 and 11,869.17

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Solution

The fourth proportional to 17,537.19, 24,208.16 and 11,869.17 is: 16,384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.19 : 24,208.16 = 11,869.17 : x
  2. Step 2: Convert to fraction form
    17,537.19/24,208.16 = 11,869.17/x
  3. Step 3: Cross multiply
    17,537.19x = 24,208.16 × 11,869.17
  4. Step 4: Simplify right side
    17,537.19x = 287,330,707.08
  5. Step 5: Solve for x
    x = 287,330,707.08/17,537.19
  6. Step 6: Final answer
    x = 16,384.08

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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.