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Finding the Fourth Proportional to 13,957.70, 19,288.67 and 10,200.92

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Solution

The fourth proportional to 13,957.70, 19,288.67 and 10,200.92 is: 14,097.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,957.70 : 19,288.67 = 10,200.92 : x
  2. Step 2: Convert to fraction form
    13,957.70/19,288.67 = 10,200.92/x
  3. Step 3: Cross multiply
    13,957.70x = 19,288.67 × 10,200.92
  4. Step 4: Simplify right side
    13,957.70x = 196,762,032.13
  5. Step 5: Solve for x
    x = 196,762,032.13/13,957.70
  6. Step 6: Final answer
    x = 14,097.03

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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.