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Finding the Fourth Proportional to 13,626.34, 18,802.15 and 7,657.99

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Solution

The fourth proportional to 13,626.34, 18,802.15 and 7,657.99 is: 10,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,626.34 : 18,802.15 = 7,657.99 : x
  2. Step 2: Convert to fraction form
    13,626.34/18,802.15 = 7,657.99/x
  3. Step 3: Cross multiply
    13,626.34x = 18,802.15 × 7,657.99
  4. Step 4: Simplify right side
    13,626.34x = 143,986,610.53
  5. Step 5: Solve for x
    x = 143,986,610.53/13,626.34
  6. Step 6: Final answer
    x = 10,566.79

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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.