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Finding the Fourth Proportional to 14,931.74, 20,605.19 and 8,216.74

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Solution

The fourth proportional to 14,931.74, 20,605.19 and 8,216.74 is: 11,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,931.74 : 20,605.19 = 8,216.74 : x
  2. Step 2: Convert to fraction form
    14,931.74/20,605.19 = 8,216.74/x
  3. Step 3: Cross multiply
    14,931.74x = 20,605.19 × 8,216.74
  4. Step 4: Simplify right side
    14,931.74x = 169,307,473.55
  5. Step 5: Solve for x
    x = 169,307,473.55/14,931.74
  6. Step 6: Final answer
    x = 11,338.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.