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Finding the Fourth Proportional to 24,606.16, 36,915.54 and 7,077.28

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Solution

The fourth proportional to 24,606.16, 36,915.54 and 7,077.28 is: 10,617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,606.16 : 36,915.54 = 7,077.28 : x
  2. Step 2: Convert to fraction form
    24,606.16/36,915.54 = 7,077.28/x
  3. Step 3: Cross multiply
    24,606.16x = 36,915.54 × 7,077.28
  4. Step 4: Simplify right side
    24,606.16x = 261,261,612.93
  5. Step 5: Solve for x
    x = 261,261,612.93/24,606.16
  6. Step 6: Final answer
    x = 10,617.73

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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.