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Finding the Fourth Proportional to 12,276.64, 18,417.52 and 4,068

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Solution

The fourth proportional to 12,276.64, 18,417.52 and 4,068 is: 6,102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.64 : 18,417.52 = 4,068 : x
  2. Step 2: Convert to fraction form
    12,276.64/18,417.52 = 4,068/x
  3. Step 3: Cross multiply
    12,276.64x = 18,417.52 × 4,068
  4. Step 4: Simplify right side
    12,276.64x = 74,922,471.36
  5. Step 5: Solve for x
    x = 74,922,471.36/12,276.64
  6. Step 6: Final answer
    x = 6,102.85

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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.