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Finding the Fourth Proportional to 17,597.71, 26,400.46 and 9,696.16

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Solution

The fourth proportional to 17,597.71, 26,400.46 and 9,696.16 is: 14,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,597.71 : 26,400.46 = 9,696.16 : x
  2. Step 2: Convert to fraction form
    17,597.71/26,400.46 = 9,696.16/x
  3. Step 3: Cross multiply
    17,597.71x = 26,400.46 × 9,696.16
  4. Step 4: Simplify right side
    17,597.71x = 255,983,084.23
  5. Step 5: Solve for x
    x = 255,983,084.23/17,597.71
  6. Step 6: Final answer
    x = 14,546.39

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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.