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Finding the Fourth Proportional to 17,835.74, 24,613.43 and 9,878.07

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Solution

The fourth proportional to 17,835.74, 24,613.43 and 9,878.07 is: 13,631.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.74 : 24,613.43 = 9,878.07 : x
  2. Step 2: Convert to fraction form
    17,835.74/24,613.43 = 9,878.07/x
  3. Step 3: Cross multiply
    17,835.74x = 24,613.43 × 9,878.07
  4. Step 4: Simplify right side
    17,835.74x = 243,133,135.09
  5. Step 5: Solve for x
    x = 243,133,135.09/17,835.74
  6. Step 6: Final answer
    x = 13,631.80

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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.