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Finding the Fourth Proportional to 24,649.86, 36,984.11 and 14,796.01

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Solution

The fourth proportional to 24,649.86, 36,984.11 and 14,796.01 is: 22,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.86 : 36,984.11 = 14,796.01 : x
  2. Step 2: Convert to fraction form
    24,649.86/36,984.11 = 14,796.01/x
  3. Step 3: Cross multiply
    24,649.86x = 36,984.11 × 14,796.01
  4. Step 4: Simplify right side
    24,649.86x = 547,217,094.96
  5. Step 5: Solve for x
    x = 547,217,094.96/24,649.86
  6. Step 6: Final answer
    x = 22,199.60

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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.