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Finding the Fourth Proportional to 24,762.84, 37,139.40 and 9,181.68

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Solution

The fourth proportional to 24,762.84, 37,139.40 and 9,181.68 is: 13,770.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.84 : 37,139.40 = 9,181.68 : x
  2. Step 2: Convert to fraction form
    24,762.84/37,139.40 = 9,181.68/x
  3. Step 3: Cross multiply
    24,762.84x = 37,139.40 × 9,181.68
  4. Step 4: Simplify right side
    24,762.84x = 341,002,086.19
  5. Step 5: Solve for x
    x = 341,002,086.19/24,762.84
  6. Step 6: Final answer
    x = 13,770.72

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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.