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Finding the Fourth Proportional to 24,477.21, 36,728.37 and 11,997

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Solution

The fourth proportional to 24,477.21, 36,728.37 and 11,997 is: 18,001.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.21 : 36,728.37 = 11,997 : x
  2. Step 2: Convert to fraction form
    24,477.21/36,728.37 = 11,997/x
  3. Step 3: Cross multiply
    24,477.21x = 36,728.37 × 11,997
  4. Step 4: Simplify right side
    24,477.21x = 440,630,254.89
  5. Step 5: Solve for x
    x = 440,630,254.89/24,477.21
  6. Step 6: Final answer
    x = 18,001.65

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1.5x scale

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.