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Finding the Fourth Proportional to 20,154.84, 27,837.09 and 13,429.50

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Solution

The fourth proportional to 20,154.84, 27,837.09 and 13,429.50 is: 18,548.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.84 : 27,837.09 = 13,429.50 : x
  2. Step 2: Convert to fraction form
    20,154.84/27,837.09 = 13,429.50/x
  3. Step 3: Cross multiply
    20,154.84x = 27,837.09 × 13,429.50
  4. Step 4: Simplify right side
    20,154.84x = 373,838,200.16
  5. Step 5: Solve for x
    x = 373,838,200.16/20,154.84
  6. Step 6: Final answer
    x = 18,548.31

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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.