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Finding the Fourth Proportional to 24,416, 36,622.16 and 7,775.36

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Solution

The fourth proportional to 24,416, 36,622.16 and 7,775.36 is: 11,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416 : 36,622.16 = 7,775.36 : x
  2. Step 2: Convert to fraction form
    24,416/36,622.16 = 7,775.36/x
  3. Step 3: Cross multiply
    24,416x = 36,622.16 × 7,775.36
  4. Step 4: Simplify right side
    24,416x = 284,750,477.98
  5. Step 5: Solve for x
    x = 284,750,477.98/24,416
  6. Step 6: Final answer
    x = 11,662.45

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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.