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Finding the Fourth Proportional to 17,074.56, 23,564.80 and 10,006.96

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Solution

The fourth proportional to 17,074.56, 23,564.80 and 10,006.96 is: 13,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,074.56 : 23,564.80 = 10,006.96 : x
  2. Step 2: Convert to fraction form
    17,074.56/23,564.80 = 10,006.96/x
  3. Step 3: Cross multiply
    17,074.56x = 23,564.80 × 10,006.96
  4. Step 4: Simplify right side
    17,074.56x = 235,812,011.01
  5. Step 5: Solve for x
    x = 235,812,011.01/17,074.56
  6. Step 6: Final answer
    x = 13,810.72

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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.