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Finding the Fourth Proportional to 24,773.25, 37,160.16 and 7,004.07

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Solution

The fourth proportional to 24,773.25, 37,160.16 and 7,004.07 is: 10,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,773.25 : 37,160.16 = 7,004.07 : x
  2. Step 2: Convert to fraction form
    24,773.25/37,160.16 = 7,004.07/x
  3. Step 3: Cross multiply
    24,773.25x = 37,160.16 × 7,004.07
  4. Step 4: Simplify right side
    24,773.25x = 260,272,361.85
  5. Step 5: Solve for x
    x = 260,272,361.85/24,773.25
  6. Step 6: Final answer
    x = 10,506.19

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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.