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Finding the Fourth Proportional to 19,772.16, 27,284.40 and 10,818

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Solution

The fourth proportional to 19,772.16, 27,284.40 and 10,818 is: 14,928.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.16 : 27,284.40 = 10,818 : x
  2. Step 2: Convert to fraction form
    19,772.16/27,284.40 = 10,818/x
  3. Step 3: Cross multiply
    19,772.16x = 27,284.40 × 10,818
  4. Step 4: Simplify right side
    19,772.16x = 295,162,639.20
  5. Step 5: Solve for x
    x = 295,162,639.20/19,772.16
  6. Step 6: Final answer
    x = 14,928.19

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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.