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Finding the Fourth Proportional to 17,806.13, 24,570.59 and 9,847.25

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Solution

The fourth proportional to 17,806.13, 24,570.59 and 9,847.25 is: 13,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,806.13 : 24,570.59 = 9,847.25 : x
  2. Step 2: Convert to fraction form
    17,806.13/24,570.59 = 9,847.25/x
  3. Step 3: Cross multiply
    17,806.13x = 24,570.59 × 9,847.25
  4. Step 4: Simplify right side
    17,806.13x = 241,952,570.29
  5. Step 5: Solve for x
    x = 241,952,570.29/17,806.13
  6. Step 6: Final answer
    x = 13,588.17

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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.