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Finding the Fourth Proportional to 24,907.77, 37,363.80 and 7,138.50

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Solution

The fourth proportional to 24,907.77, 37,363.80 and 7,138.50 is: 10,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,907.77 : 37,363.80 = 7,138.50 : x
  2. Step 2: Convert to fraction form
    24,907.77/37,363.80 = 7,138.50/x
  3. Step 3: Cross multiply
    24,907.77x = 37,363.80 × 7,138.50
  4. Step 4: Simplify right side
    24,907.77x = 266,721,486.30
  5. Step 5: Solve for x
    x = 266,721,486.30/24,907.77
  6. Step 6: Final answer
    x = 10,708.36

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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.