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Finding the Fourth Proportional to 18,316.32, 27,477.52 and 6,466.74

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Solution

The fourth proportional to 18,316.32, 27,477.52 and 6,466.74 is: 9,701.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,316.32 : 27,477.52 = 6,466.74 : x
  2. Step 2: Convert to fraction form
    18,316.32/27,477.52 = 6,466.74/x
  3. Step 3: Cross multiply
    18,316.32x = 27,477.52 × 6,466.74
  4. Step 4: Simplify right side
    18,316.32x = 177,689,977.68
  5. Step 5: Solve for x
    x = 177,689,977.68/18,316.32
  6. Step 6: Final answer
    x = 9,701.18

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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.