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Finding the Fourth Proportional to 12,322.83, 18,471.02 and 4,417.74

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Solution

The fourth proportional to 12,322.83, 18,471.02 and 4,417.74 is: 6,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,322.83 : 18,471.02 = 4,417.74 : x
  2. Step 2: Convert to fraction form
    12,322.83/18,471.02 = 4,417.74/x
  3. Step 3: Cross multiply
    12,322.83x = 18,471.02 × 4,417.74
  4. Step 4: Simplify right side
    12,322.83x = 81,600,141.81
  5. Step 5: Solve for x
    x = 81,600,141.81/12,322.83
  6. Step 6: Final answer
    x = 6,621.87

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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.