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Finding the Fourth Proportional to 24,472.80, 36,710.60 and 6,941.25

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Solution

The fourth proportional to 24,472.80, 36,710.60 and 6,941.25 is: 10,412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,472.80 : 36,710.60 = 6,941.25 : x
  2. Step 2: Convert to fraction form
    24,472.80/36,710.60 = 6,941.25/x
  3. Step 3: Cross multiply
    24,472.80x = 36,710.60 × 6,941.25
  4. Step 4: Simplify right side
    24,472.80x = 254,817,417.54
  5. Step 5: Solve for x
    x = 254,817,417.54/24,472.80
  6. Step 6: Final answer
    x = 10,412.27

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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.