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Finding the Fourth Proportional to 13,193.66, 18,207.70 and 7,225.68

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Solution

The fourth proportional to 13,193.66, 18,207.70 and 7,225.68 is: 9,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,193.66 : 18,207.70 = 7,225.68 : x
  2. Step 2: Convert to fraction form
    13,193.66/18,207.70 = 7,225.68/x
  3. Step 3: Cross multiply
    13,193.66x = 18,207.70 × 7,225.68
  4. Step 4: Simplify right side
    13,193.66x = 131,563,013.74
  5. Step 5: Solve for x
    x = 131,563,013.74/13,193.66
  6. Step 6: Final answer
    x = 9,971.68

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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.