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Finding the Fourth Proportional to 15,207.70, 22,805.72 and 7,308.02

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Solution

The fourth proportional to 15,207.70, 22,805.72 and 7,308.02 is: 10,959.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,207.70 : 22,805.72 = 7,308.02 : x
  2. Step 2: Convert to fraction form
    15,207.70/22,805.72 = 7,308.02/x
  3. Step 3: Cross multiply
    15,207.70x = 22,805.72 × 7,308.02
  4. Step 4: Simplify right side
    15,207.70x = 166,664,657.87
  5. Step 5: Solve for x
    x = 166,664,657.87/15,207.70
  6. Step 6: Final answer
    x = 10,959.23

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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.