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Finding the Fourth Proportional to 13,193.08, 18,206.45 and 7,225.11

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Solution

The fourth proportional to 13,193.08, 18,206.45 and 7,225.11 is: 9,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.08 : 18,206.45 = 7,225.11 : x
  2. Step 2: Convert to fraction form
    13,193.08/18,206.45 = 7,225.11/x
  3. Step 3: Cross multiply
    13,193.08x = 18,206.45 × 7,225.11
  4. Step 4: Simplify right side
    13,193.08x = 131,543,603.96
  5. Step 5: Solve for x
    x = 131,543,603.96/13,193.08
  6. Step 6: Final answer
    x = 9,970.65

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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.