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Finding the Fourth Proportional to 19,732.64, 29,594.52 and 5,689.64

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Solution

The fourth proportional to 19,732.64, 29,594.52 and 5,689.64 is: 8,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.64 : 29,594.52 = 5,689.64 : x
  2. Step 2: Convert to fraction form
    19,732.64/29,594.52 = 5,689.64/x
  3. Step 3: Cross multiply
    19,732.64x = 29,594.52 × 5,689.64
  4. Step 4: Simplify right side
    19,732.64x = 168,382,164.77
  5. Step 5: Solve for x
    x = 168,382,164.77/19,732.64
  6. Step 6: Final answer
    x = 8,533.18

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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.