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Finding the Fourth Proportional to 13,898.27, 19,179.64 and 7,524.93

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Solution

The fourth proportional to 13,898.27, 19,179.64 and 7,524.93 is: 10,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,898.27 : 19,179.64 = 7,524.93 : x
  2. Step 2: Convert to fraction form
    13,898.27/19,179.64 = 7,524.93/x
  3. Step 3: Cross multiply
    13,898.27x = 19,179.64 × 7,524.93
  4. Step 4: Simplify right side
    13,898.27x = 144,325,314.90
  5. Step 5: Solve for x
    x = 144,325,314.90/13,898.27
  6. Step 6: Final answer
    x = 10,384.41

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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.