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Finding the Fourth Proportional to 24,226.02, 36,342.68 and 8,640

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Solution

The fourth proportional to 24,226.02, 36,342.68 and 8,640 is: 12,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,226.02 : 36,342.68 = 8,640 : x
  2. Step 2: Convert to fraction form
    24,226.02/36,342.68 = 8,640/x
  3. Step 3: Cross multiply
    24,226.02x = 36,342.68 × 8,640
  4. Step 4: Simplify right side
    24,226.02x = 314,000,712
  5. Step 5: Solve for x
    x = 314,000,712/24,226.02
  6. Step 6: Final answer
    x = 12,961.30

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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.