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Finding the Fourth Proportional to 15,098.69, 22,655.81 and 6,784.49

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Solution

The fourth proportional to 15,098.69, 22,655.81 and 6,784.49 is: 10,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,098.69 : 22,655.81 = 6,784.49 : x
  2. Step 2: Convert to fraction form
    15,098.69/22,655.81 = 6,784.49/x
  3. Step 3: Cross multiply
    15,098.69x = 22,655.81 × 6,784.49
  4. Step 4: Simplify right side
    15,098.69x = 153,708,020.07
  5. Step 5: Solve for x
    x = 153,708,020.07/15,098.69
  6. Step 6: Final answer
    x = 10,180.23

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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.