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Finding the Fourth Proportional to 15,207.69, 22,805.73 and 7,308

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Solution

The fourth proportional to 15,207.69, 22,805.73 and 7,308 is: 10,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,207.69 : 22,805.73 = 7,308 : x
  2. Step 2: Convert to fraction form
    15,207.69/22,805.73 = 7,308/x
  3. Step 3: Cross multiply
    15,207.69x = 22,805.73 × 7,308
  4. Step 4: Simplify right side
    15,207.69x = 166,664,274.84
  5. Step 5: Solve for x
    x = 166,664,274.84/15,207.69
  6. Step 6: Final answer
    x = 10,959.21

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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.