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Finding the Fourth Proportional to 24,537.02, 36,798.24 and 8,951

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Solution

The fourth proportional to 24,537.02, 36,798.24 and 8,951 is: 13,423.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,537.02 : 36,798.24 = 8,951 : x
  2. Step 2: Convert to fraction form
    24,537.02/36,798.24 = 8,951/x
  3. Step 3: Cross multiply
    24,537.02x = 36,798.24 × 8,951
  4. Step 4: Simplify right side
    24,537.02x = 329,381,046.24
  5. Step 5: Solve for x
    x = 329,381,046.24/24,537.02
  6. Step 6: Final answer
    x = 13,423.84

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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.