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Finding the Fourth Proportional to 24,486.90, 36,731.55 and 12,822.90

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Solution

The fourth proportional to 24,486.90, 36,731.55 and 12,822.90 is: 19,234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,486.90 : 36,731.55 = 12,822.90 : x
  2. Step 2: Convert to fraction form
    24,486.90/36,731.55 = 12,822.90/x
  3. Step 3: Cross multiply
    24,486.90x = 36,731.55 × 12,822.90
  4. Step 4: Simplify right side
    24,486.90x = 471,004,992.50
  5. Step 5: Solve for x
    x = 471,004,992.50/24,486.90
  6. Step 6: Final answer
    x = 19,234.98

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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.