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Finding the Fourth Proportional to 11,588.38, 17,354.22 and 10,465.18

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Solution

The fourth proportional to 11,588.38, 17,354.22 and 10,465.18 is: 15,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.38 : 17,354.22 = 10,465.18 : x
  2. Step 2: Convert to fraction form
    11,588.38/17,354.22 = 10,465.18/x
  3. Step 3: Cross multiply
    11,588.38x = 17,354.22 × 10,465.18
  4. Step 4: Simplify right side
    11,588.38x = 181,615,145.81
  5. Step 5: Solve for x
    x = 181,615,145.81/11,588.38
  6. Step 6: Final answer
    x = 15,672.17

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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.