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Finding the Fourth Proportional to 13,193.83, 18,206.80 and 7,225.48

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Solution

The fourth proportional to 13,193.83, 18,206.80 and 7,225.48 is: 9,970.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.83 : 18,206.80 = 7,225.48 : x
  2. Step 2: Convert to fraction form
    13,193.83/18,206.80 = 7,225.48/x
  3. Step 3: Cross multiply
    13,193.83x = 18,206.80 × 7,225.48
  4. Step 4: Simplify right side
    13,193.83x = 131,552,869.26
  5. Step 5: Solve for x
    x = 131,552,869.26/13,193.83
  6. Step 6: Final answer
    x = 9,970.79

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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.