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Finding the Fourth Proportional to 17,857.09, 24,641.12 and 9,898.64

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Solution

The fourth proportional to 17,857.09, 24,641.12 and 9,898.64 is: 13,659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.09 : 24,641.12 = 9,898.64 : x
  2. Step 2: Convert to fraction form
    17,857.09/24,641.12 = 9,898.64/x
  3. Step 3: Cross multiply
    17,857.09x = 24,641.12 × 9,898.64
  4. Step 4: Simplify right side
    17,857.09x = 243,913,477.62
  5. Step 5: Solve for x
    x = 243,913,477.62/17,857.09
  6. Step 6: Final answer
    x = 13,659.20

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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.