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Finding the Fourth Proportional to 24,770.34, 37,151.28 and 8,129.94

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Solution

The fourth proportional to 24,770.34, 37,151.28 and 8,129.94 is: 12,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,770.34 : 37,151.28 = 8,129.94 : x
  2. Step 2: Convert to fraction form
    24,770.34/37,151.28 = 8,129.94/x
  3. Step 3: Cross multiply
    24,770.34x = 37,151.28 × 8,129.94
  4. Step 4: Simplify right side
    24,770.34x = 302,037,677.32
  5. Step 5: Solve for x
    x = 302,037,677.32/24,770.34
  6. Step 6: Final answer
    x = 12,193.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.