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Finding the Fourth Proportional to 11,587.46, 17,381.19 and 10,022.81

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Solution

The fourth proportional to 11,587.46, 17,381.19 and 10,022.81 is: 15,034.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.46 : 17,381.19 = 10,022.81 : x
  2. Step 2: Convert to fraction form
    11,587.46/17,381.19 = 10,022.81/x
  3. Step 3: Cross multiply
    11,587.46x = 17,381.19 × 10,022.81
  4. Step 4: Simplify right side
    11,587.46x = 174,208,408.40
  5. Step 5: Solve for x
    x = 174,208,408.40/11,587.46
  6. Step 6: Final answer
    x = 15,034.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.