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Finding the Fourth Proportional to 17,428.14, 24,046.95 and 9,873.81

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Solution

The fourth proportional to 17,428.14, 24,046.95 and 9,873.81 is: 13,623.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,428.14 : 24,046.95 = 9,873.81 : x
  2. Step 2: Convert to fraction form
    17,428.14/24,046.95 = 9,873.81/x
  3. Step 3: Cross multiply
    17,428.14x = 24,046.95 × 9,873.81
  4. Step 4: Simplify right side
    17,428.14x = 237,435,015.38
  5. Step 5: Solve for x
    x = 237,435,015.38/17,428.14
  6. Step 6: Final answer
    x = 13,623.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.