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Finding the Fourth Proportional to 22,977.60, 34,466.64 and 9,821.76

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Solution

The fourth proportional to 22,977.60, 34,466.64 and 9,821.76 is: 14,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.60 : 34,466.64 = 9,821.76 : x
  2. Step 2: Convert to fraction form
    22,977.60/34,466.64 = 9,821.76/x
  3. Step 3: Cross multiply
    22,977.60x = 34,466.64 × 9,821.76
  4. Step 4: Simplify right side
    22,977.60x = 338,523,066.09
  5. Step 5: Solve for x
    x = 338,523,066.09/22,977.60
  6. Step 6: Final answer
    x = 14,732.74

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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.