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Finding the Fourth Proportional to 17,406.84, 24,022.62 and 9,853.14

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Solution

The fourth proportional to 17,406.84, 24,022.62 and 9,853.14 is: 13,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406.84 : 24,022.62 = 9,853.14 : x
  2. Step 2: Convert to fraction form
    17,406.84/24,022.62 = 9,853.14/x
  3. Step 3: Cross multiply
    17,406.84x = 24,022.62 × 9,853.14
  4. Step 4: Simplify right side
    17,406.84x = 236,698,238.03
  5. Step 5: Solve for x
    x = 236,698,238.03/17,406.84
  6. Step 6: Final answer
    x = 13,598.00

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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.