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Finding the Fourth Proportional to 13,192.86, 18,207.52 and 7,818.50

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Solution

The fourth proportional to 13,192.86, 18,207.52 and 7,818.50 is: 10,790.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.86 : 18,207.52 = 7,818.50 : x
  2. Step 2: Convert to fraction form
    13,192.86/18,207.52 = 7,818.50/x
  3. Step 3: Cross multiply
    13,192.86x = 18,207.52 × 7,818.50
  4. Step 4: Simplify right side
    13,192.86x = 142,355,495.12
  5. Step 5: Solve for x
    x = 142,355,495.12/13,192.86
  6. Step 6: Final answer
    x = 10,790.34

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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.