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Finding the Fourth Proportional to 24,941.25, 37,418.04 and 7,411.01

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Solution

The fourth proportional to 24,941.25, 37,418.04 and 7,411.01 is: 11,118.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,941.25 : 37,418.04 = 7,411.01 : x
  2. Step 2: Convert to fraction form
    24,941.25/37,418.04 = 7,411.01/x
  3. Step 3: Cross multiply
    24,941.25x = 37,418.04 × 7,411.01
  4. Step 4: Simplify right side
    24,941.25x = 277,305,281.53
  5. Step 5: Solve for x
    x = 277,305,281.53/24,941.25
  6. Step 6: Final answer
    x = 11,118.34

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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.