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Finding the Fourth Proportional to 17,188.88, 23,715.32 and 9,634.15

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Solution

The fourth proportional to 17,188.88, 23,715.32 and 9,634.15 is: 13,292.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,188.88 : 23,715.32 = 9,634.15 : x
  2. Step 2: Convert to fraction form
    17,188.88/23,715.32 = 9,634.15/x
  3. Step 3: Cross multiply
    17,188.88x = 23,715.32 × 9,634.15
  4. Step 4: Simplify right side
    17,188.88x = 228,476,931.65
  5. Step 5: Solve for x
    x = 228,476,931.65/17,188.88
  6. Step 6: Final answer
    x = 13,292.14

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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.