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Finding the Fourth Proportional to 12,701.10, 17,526.84 and 7,035.68

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Solution

The fourth proportional to 12,701.10, 17,526.84 and 7,035.68 is: 9,708.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.10 : 17,526.84 = 7,035.68 : x
  2. Step 2: Convert to fraction form
    12,701.10/17,526.84 = 7,035.68/x
  3. Step 3: Cross multiply
    12,701.10x = 17,526.84 × 7,035.68
  4. Step 4: Simplify right side
    12,701.10x = 123,313,237.65
  5. Step 5: Solve for x
    x = 123,313,237.65/12,701.10
  6. Step 6: Final answer
    x = 9,708.86

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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.