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Finding the Fourth Proportional to 13,419.84, 20,128.56 and 4,654.56

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Solution

The fourth proportional to 13,419.84, 20,128.56 and 4,654.56 is: 6,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.84 : 20,128.56 = 4,654.56 : x
  2. Step 2: Convert to fraction form
    13,419.84/20,128.56 = 4,654.56/x
  3. Step 3: Cross multiply
    13,419.84x = 20,128.56 × 4,654.56
  4. Step 4: Simplify right side
    13,419.84x = 93,689,590.23
  5. Step 5: Solve for x
    x = 93,689,590.23/13,419.84
  6. Step 6: Final answer
    x = 6,981.42

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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.