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Finding the Fourth Proportional to 17,835.86, 24,613.46 and 9,878.08

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Solution

The fourth proportional to 17,835.86, 24,613.46 and 9,878.08 is: 13,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.86 : 24,613.46 = 9,878.08 : x
  2. Step 2: Convert to fraction form
    17,835.86/24,613.46 = 9,878.08/x
  3. Step 3: Cross multiply
    17,835.86x = 24,613.46 × 9,878.08
  4. Step 4: Simplify right side
    17,835.86x = 243,133,616.03
  5. Step 5: Solve for x
    x = 243,133,616.03/17,835.86
  6. Step 6: Final answer
    x = 13,631.73

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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.