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Finding the Fourth Proportional to 15,857.25, 23,786.07 and 7,538.07

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Solution

The fourth proportional to 15,857.25, 23,786.07 and 7,538.07 is: 11,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,857.25 : 23,786.07 = 7,538.07 : x
  2. Step 2: Convert to fraction form
    15,857.25/23,786.07 = 7,538.07/x
  3. Step 3: Cross multiply
    15,857.25x = 23,786.07 × 7,538.07
  4. Step 4: Simplify right side
    15,857.25x = 179,301,060.68
  5. Step 5: Solve for x
    x = 179,301,060.68/15,857.25
  6. Step 6: Final answer
    x = 11,307.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.