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Finding the Fourth Proportional to 17,810.36, 24,578.94 and 9,853.34

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Solution

The fourth proportional to 17,810.36, 24,578.94 and 9,853.34 is: 13,597.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.36 : 24,578.94 = 9,853.34 : x
  2. Step 2: Convert to fraction form
    17,810.36/24,578.94 = 9,853.34/x
  3. Step 3: Cross multiply
    17,810.36x = 24,578.94 × 9,853.34
  4. Step 4: Simplify right side
    17,810.36x = 242,184,652.66
  5. Step 5: Solve for x
    x = 242,184,652.66/17,810.36
  6. Step 6: Final answer
    x = 13,597.97

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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.