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Finding the Fourth Proportional to 24,044, 36,066 and 7,628

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Solution

The fourth proportional to 24,044, 36,066 and 7,628 is: 11,442

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,044 : 36,066 = 7,628 : x
  2. Step 2: Convert to fraction form
    24,044/36,066 = 7,628/x
  3. Step 3: Cross multiply
    24,044x = 36,066 × 7,628
  4. Step 4: Simplify right side
    24,044x = 275,111,448
  5. Step 5: Solve for x
    x = 275,111,448/24,044
  6. Step 6: Final answer
    x = 11,442

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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.