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Finding the Fourth Proportional to 13,839.84, 20,726.28 and 9,684

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Solution

The fourth proportional to 13,839.84, 20,726.28 and 9,684 is: 14,502.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,839.84 : 20,726.28 = 9,684 : x
  2. Step 2: Convert to fraction form
    13,839.84/20,726.28 = 9,684/x
  3. Step 3: Cross multiply
    13,839.84x = 20,726.28 × 9,684
  4. Step 4: Simplify right side
    13,839.84x = 200,713,295.52
  5. Step 5: Solve for x
    x = 200,713,295.52/13,839.84
  6. Step 6: Final answer
    x = 14,502.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.