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Finding the Fourth Proportional to 13,664.35, 18,858.59 and 7,697.17

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Solution

The fourth proportional to 13,664.35, 18,858.59 and 7,697.17 is: 10,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.35 : 18,858.59 = 7,697.17 : x
  2. Step 2: Convert to fraction form
    13,664.35/18,858.59 = 7,697.17/x
  3. Step 3: Cross multiply
    13,664.35x = 18,858.59 × 7,697.17
  4. Step 4: Simplify right side
    13,664.35x = 145,157,773.19
  5. Step 5: Solve for x
    x = 145,157,773.19/13,664.35
  6. Step 6: Final answer
    x = 10,623.10

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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.