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Finding the Fourth Proportional to 20,102.14, 27,730.65 and 13,030.84

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Solution

The fourth proportional to 20,102.14, 27,730.65 and 13,030.84 is: 17,975.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.14 : 27,730.65 = 13,030.84 : x
  2. Step 2: Convert to fraction form
    20,102.14/27,730.65 = 13,030.84/x
  3. Step 3: Cross multiply
    20,102.14x = 27,730.65 × 13,030.84
  4. Step 4: Simplify right side
    20,102.14x = 361,353,663.25
  5. Step 5: Solve for x
    x = 361,353,663.25/20,102.14
  6. Step 6: Final answer
    x = 17,975.88

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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.