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Finding the Fourth Proportional to 10,112.74, 15,223.70 and 9,095.51

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Solution

The fourth proportional to 10,112.74, 15,223.70 and 9,095.51 is: 13,692.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.74 : 15,223.70 = 9,095.51 : x
  2. Step 2: Convert to fraction form
    10,112.74/15,223.70 = 9,095.51/x
  3. Step 3: Cross multiply
    10,112.74x = 15,223.70 × 9,095.51
  4. Step 4: Simplify right side
    10,112.74x = 138,467,376.39
  5. Step 5: Solve for x
    x = 138,467,376.39/10,112.74
  6. Step 6: Final answer
    x = 13,692.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.