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Finding the Fourth Proportional to 15,696.42, 23,524.59 and 7,358.06

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Solution

The fourth proportional to 15,696.42, 23,524.59 and 7,358.06 is: 11,027.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696.42 : 23,524.59 = 7,358.06 : x
  2. Step 2: Convert to fraction form
    15,696.42/23,524.59 = 7,358.06/x
  3. Step 3: Cross multiply
    15,696.42x = 23,524.59 × 7,358.06
  4. Step 4: Simplify right side
    15,696.42x = 173,095,227.07
  5. Step 5: Solve for x
    x = 173,095,227.07/15,696.42
  6. Step 6: Final answer
    x = 11,027.69

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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.