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Finding the Fourth Proportional to 13,647.55, 18,833.70 and 7,679.32

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Solution

The fourth proportional to 13,647.55, 18,833.70 and 7,679.32 is: 10,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.55 : 18,833.70 = 7,679.32 : x
  2. Step 2: Convert to fraction form
    13,647.55/18,833.70 = 7,679.32/x
  3. Step 3: Cross multiply
    13,647.55x = 18,833.70 × 7,679.32
  4. Step 4: Simplify right side
    13,647.55x = 144,630,009.08
  5. Step 5: Solve for x
    x = 144,630,009.08/13,647.55
  6. Step 6: Final answer
    x = 10,597.51

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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.