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Finding the Fourth Proportional to 15,736.50, 23,573.09 and 7,291.17

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Solution

The fourth proportional to 15,736.50, 23,573.09 and 7,291.17 is: 10,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.50 : 23,573.09 = 7,291.17 : x
  2. Step 2: Convert to fraction form
    15,736.50/23,573.09 = 7,291.17/x
  3. Step 3: Cross multiply
    15,736.50x = 23,573.09 × 7,291.17
  4. Step 4: Simplify right side
    15,736.50x = 171,875,424.84
  5. Step 5: Solve for x
    x = 171,875,424.84/15,736.50
  6. Step 6: Final answer
    x = 10,922.09

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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.