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Finding the Fourth Proportional to 24,492.98, 36,741.80 and 7,849.20

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Solution

The fourth proportional to 24,492.98, 36,741.80 and 7,849.20 is: 11,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492.98 : 36,741.80 = 7,849.20 : x
  2. Step 2: Convert to fraction form
    24,492.98/36,741.80 = 7,849.20/x
  3. Step 3: Cross multiply
    24,492.98x = 36,741.80 × 7,849.20
  4. Step 4: Simplify right side
    24,492.98x = 288,393,893.96
  5. Step 5: Solve for x
    x = 288,393,893.96/24,492.98
  6. Step 6: Final answer
    x = 11,774.55

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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.