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Finding the Fourth Proportional to 20,783.91, 31,316.16 and 17,167.17

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Solution

The fourth proportional to 20,783.91, 31,316.16 and 17,167.17 is: 25,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.91 : 31,316.16 = 17,167.17 : x
  2. Step 2: Convert to fraction form
    20,783.91/31,316.16 = 17,167.17/x
  3. Step 3: Cross multiply
    20,783.91x = 31,316.16 × 17,167.17
  4. Step 4: Simplify right side
    20,783.91x = 537,609,842.47
  5. Step 5: Solve for x
    x = 537,609,842.47/20,783.91
  6. Step 6: Final answer
    x = 25,866.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.