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Finding the Fourth Proportional to 17,484.84, 24,138 and 11,849.37

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Solution

The fourth proportional to 17,484.84, 24,138 and 11,849.37 is: 16,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,484.84 : 24,138 = 11,849.37 : x
  2. Step 2: Convert to fraction form
    17,484.84/24,138 = 11,849.37/x
  3. Step 3: Cross multiply
    17,484.84x = 24,138 × 11,849.37
  4. Step 4: Simplify right side
    17,484.84x = 286,020,093.06
  5. Step 5: Solve for x
    x = 286,020,093.06/17,484.84
  6. Step 6: Final answer
    x = 16,358.18

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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.