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Finding the Fourth Proportional to 13,605.67, 20,430.78 and 9,191.62

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Solution

The fourth proportional to 13,605.67, 20,430.78 and 9,191.62 is: 13,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.67 : 20,430.78 = 9,191.62 : x
  2. Step 2: Convert to fraction form
    13,605.67/20,430.78 = 9,191.62/x
  3. Step 3: Cross multiply
    13,605.67x = 20,430.78 × 9,191.62
  4. Step 4: Simplify right side
    13,605.67x = 187,791,966.06
  5. Step 5: Solve for x
    x = 187,791,966.06/13,605.67
  6. Step 6: Final answer
    x = 13,802.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.