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Finding the Fourth Proportional to 17,825.13, 24,596.15 and 9,867.15

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Solution

The fourth proportional to 17,825.13, 24,596.15 and 9,867.15 is: 13,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,825.13 : 24,596.15 = 9,867.15 : x
  2. Step 2: Convert to fraction form
    17,825.13/24,596.15 = 9,867.15/x
  3. Step 3: Cross multiply
    17,825.13x = 24,596.15 × 9,867.15
  4. Step 4: Simplify right side
    17,825.13x = 242,693,852.14
  5. Step 5: Solve for x
    x = 242,693,852.14/17,825.13
  6. Step 6: Final answer
    x = 13,615.26

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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.