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Finding the Fourth Proportional to 24,642.48, 36,962.64 and 7,113.04

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Solution

The fourth proportional to 24,642.48, 36,962.64 and 7,113.04 is: 10,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,642.48 : 36,962.64 = 7,113.04 : x
  2. Step 2: Convert to fraction form
    24,642.48/36,962.64 = 7,113.04/x
  3. Step 3: Cross multiply
    24,642.48x = 36,962.64 × 7,113.04
  4. Step 4: Simplify right side
    24,642.48x = 262,916,736.83
  5. Step 5: Solve for x
    x = 262,916,736.83/24,642.48
  6. Step 6: Final answer
    x = 10,669.25

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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.