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Finding the Fourth Proportional to 15,472.51, 23,212.94 and 7,145.71

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Solution

The fourth proportional to 15,472.51, 23,212.94 and 7,145.71 is: 10,720.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,472.51 : 23,212.94 = 7,145.71 : x
  2. Step 2: Convert to fraction form
    15,472.51/23,212.94 = 7,145.71/x
  3. Step 3: Cross multiply
    15,472.51x = 23,212.94 × 7,145.71
  4. Step 4: Simplify right side
    15,472.51x = 165,872,937.49
  5. Step 5: Solve for x
    x = 165,872,937.49/15,472.51
  6. Step 6: Final answer
    x = 10,720.49

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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.