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Finding the Fourth Proportional to 13,193.64, 18,206.46 and 7,225.44

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Solution

The fourth proportional to 13,193.64, 18,206.46 and 7,225.44 is: 9,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.64 : 18,206.46 = 7,225.44 : x
  2. Step 2: Convert to fraction form
    13,193.64/18,206.46 = 7,225.44/x
  3. Step 3: Cross multiply
    13,193.64x = 18,206.46 × 7,225.44
  4. Step 4: Simplify right side
    13,193.64x = 131,549,684.34
  5. Step 5: Solve for x
    x = 131,549,684.34/13,193.64
  6. Step 6: Final answer
    x = 9,970.69

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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.