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Finding the Fourth Proportional to 17,835.94, 24,613.27 and 9,878.14

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Solution

The fourth proportional to 17,835.94, 24,613.27 and 9,878.14 is: 13,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,835.94 : 24,613.27 = 9,878.14 : x
  2. Step 2: Convert to fraction form
    17,835.94/24,613.27 = 9,878.14/x
  3. Step 3: Cross multiply
    17,835.94x = 24,613.27 × 9,878.14
  4. Step 4: Simplify right side
    17,835.94x = 243,133,326.92
  5. Step 5: Solve for x
    x = 243,133,326.92/17,835.94
  6. Step 6: Final answer
    x = 13,631.65

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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.