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Finding the Fourth Proportional to 13,647.02, 18,832.62 and 7,597.18

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Solution

The fourth proportional to 13,647.02, 18,832.62 and 7,597.18 is: 10,483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.02 : 18,832.62 = 7,597.18 : x
  2. Step 2: Convert to fraction form
    13,647.02/18,832.62 = 7,597.18/x
  3. Step 3: Cross multiply
    13,647.02x = 18,832.62 × 7,597.18
  4. Step 4: Simplify right side
    13,647.02x = 143,074,813.31
  5. Step 5: Solve for x
    x = 143,074,813.31/13,647.02
  6. Step 6: Final answer
    x = 10,483.96

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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.