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Finding the Fourth Proportional to 17,077.59, 23,564.72 and 10,006.23

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Solution

The fourth proportional to 17,077.59, 23,564.72 and 10,006.23 is: 13,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.59 : 23,564.72 = 10,006.23 : x
  2. Step 2: Convert to fraction form
    17,077.59/23,564.72 = 10,006.23/x
  3. Step 3: Cross multiply
    17,077.59x = 23,564.72 × 10,006.23
  4. Step 4: Simplify right side
    17,077.59x = 235,793,958.17
  5. Step 5: Solve for x
    x = 235,793,958.17/17,077.59
  6. Step 6: Final answer
    x = 13,807.22

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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.