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Finding the Fourth Proportional to 24,649.04, 36,962.54 and 7,114.68

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Solution

The fourth proportional to 24,649.04, 36,962.54 and 7,114.68 is: 10,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.04 : 36,962.54 = 7,114.68 : x
  2. Step 2: Convert to fraction form
    24,649.04/36,962.54 = 7,114.68/x
  3. Step 3: Cross multiply
    24,649.04x = 36,962.54 × 7,114.68
  4. Step 4: Simplify right side
    24,649.04x = 262,976,644.09
  5. Step 5: Solve for x
    x = 262,976,644.09/24,649.04
  6. Step 6: Final answer
    x = 10,668.84

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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.