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Finding the Fourth Proportional to 12,523.14, 17,242.47 and 9,529.38

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Solution

The fourth proportional to 12,523.14, 17,242.47 and 9,529.38 is: 13,120.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.14 : 17,242.47 = 9,529.38 : x
  2. Step 2: Convert to fraction form
    12,523.14/17,242.47 = 9,529.38/x
  3. Step 3: Cross multiply
    12,523.14x = 17,242.47 × 9,529.38
  4. Step 4: Simplify right side
    12,523.14x = 164,310,048.77
  5. Step 5: Solve for x
    x = 164,310,048.77/12,523.14
  6. Step 6: Final answer
    x = 13,120.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.