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Finding the Fourth Proportional to 17,588.32, 26,381.64 and 6,494.20

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Solution

The fourth proportional to 17,588.32, 26,381.64 and 6,494.20 is: 9,740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,588.32 : 26,381.64 = 6,494.20 : x
  2. Step 2: Convert to fraction form
    17,588.32/26,381.64 = 6,494.20/x
  3. Step 3: Cross multiply
    17,588.32x = 26,381.64 × 6,494.20
  4. Step 4: Simplify right side
    17,588.32x = 171,327,646.49
  5. Step 5: Solve for x
    x = 171,327,646.49/17,588.32
  6. Step 6: Final answer
    x = 9,740.99

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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.