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Finding the Fourth Proportional to 24,041.30, 36,066.06 and 7,401

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Solution

The fourth proportional to 24,041.30, 36,066.06 and 7,401 is: 11,102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,041.30 : 36,066.06 = 7,401 : x
  2. Step 2: Convert to fraction form
    24,041.30/36,066.06 = 7,401/x
  3. Step 3: Cross multiply
    24,041.30x = 36,066.06 × 7,401
  4. Step 4: Simplify right side
    24,041.30x = 266,924,910.06
  5. Step 5: Solve for x
    x = 266,924,910.06/24,041.30
  6. Step 6: Final answer
    x = 11,102.77

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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.