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Finding the Fourth Proportional to 24,993, 37,492.08 and 8,348.64

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Solution

The fourth proportional to 24,993, 37,492.08 and 8,348.64 is: 12,523.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,993 : 37,492.08 = 8,348.64 : x
  2. Step 2: Convert to fraction form
    24,993/37,492.08 = 8,348.64/x
  3. Step 3: Cross multiply
    24,993x = 37,492.08 × 8,348.64
  4. Step 4: Simplify right side
    24,993x = 313,007,878.77
  5. Step 5: Solve for x
    x = 313,007,878.77/24,993
  6. Step 6: Final answer
    x = 12,523.82

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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.