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Finding the Fourth Proportional to 15,019.74, 22,543.73 and 7,629.50

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Solution

The fourth proportional to 15,019.74, 22,543.73 and 7,629.50 is: 11,451.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,019.74 : 22,543.73 = 7,629.50 : x
  2. Step 2: Convert to fraction form
    15,019.74/22,543.73 = 7,629.50/x
  3. Step 3: Cross multiply
    15,019.74x = 22,543.73 × 7,629.50
  4. Step 4: Simplify right side
    15,019.74x = 171,997,237.17
  5. Step 5: Solve for x
    x = 171,997,237.17/15,019.74
  6. Step 6: Final answer
    x = 11,451.41

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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.