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Finding the Fourth Proportional to 17,727.84, 26,585.82 and 8,957.16

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Solution

The fourth proportional to 17,727.84, 26,585.82 and 8,957.16 is: 13,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727.84 : 26,585.82 = 8,957.16 : x
  2. Step 2: Convert to fraction form
    17,727.84/26,585.82 = 8,957.16/x
  3. Step 3: Cross multiply
    17,727.84x = 26,585.82 × 8,957.16
  4. Step 4: Simplify right side
    17,727.84x = 238,133,443.47
  5. Step 5: Solve for x
    x = 238,133,443.47/17,727.84
  6. Step 6: Final answer
    x = 13,432.74

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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.