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Finding the Fourth Proportional to 17,009.50, 25,510.14 and 7,148.92

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Solution

The fourth proportional to 17,009.50, 25,510.14 and 7,148.92 is: 10,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,009.50 : 25,510.14 = 7,148.92 : x
  2. Step 2: Convert to fraction form
    17,009.50/25,510.14 = 7,148.92/x
  3. Step 3: Cross multiply
    17,009.50x = 25,510.14 × 7,148.92
  4. Step 4: Simplify right side
    17,009.50x = 182,369,950.05
  5. Step 5: Solve for x
    x = 182,369,950.05/17,009.50
  6. Step 6: Final answer
    x = 10,721.65

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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.