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Finding the Fourth Proportional to 15,208.69, 22,807.23 and 7,309

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Solution

The fourth proportional to 15,208.69, 22,807.23 and 7,309 is: 10,960.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,208.69 : 22,807.23 = 7,309 : x
  2. Step 2: Convert to fraction form
    15,208.69/22,807.23 = 7,309/x
  3. Step 3: Cross multiply
    15,208.69x = 22,807.23 × 7,309
  4. Step 4: Simplify right side
    15,208.69x = 166,698,044.07
  5. Step 5: Solve for x
    x = 166,698,044.07/15,208.69
  6. Step 6: Final answer
    x = 10,960.71

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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.