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Finding the Fourth Proportional to 13,626.77, 18,802.85 and 7,657.29

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Solution

The fourth proportional to 13,626.77, 18,802.85 and 7,657.29 is: 10,565.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,626.77 : 18,802.85 = 7,657.29 : x
  2. Step 2: Convert to fraction form
    13,626.77/18,802.85 = 7,657.29/x
  3. Step 3: Cross multiply
    13,626.77x = 18,802.85 × 7,657.29
  4. Step 4: Simplify right side
    13,626.77x = 143,978,836.99
  5. Step 5: Solve for x
    x = 143,978,836.99/13,626.77
  6. Step 6: Final answer
    x = 10,565.89

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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.