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Finding the Fourth Proportional to 12,186.54, 16,817.35 and 6,597.50

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Solution

The fourth proportional to 12,186.54, 16,817.35 and 6,597.50 is: 9,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.54 : 16,817.35 = 6,597.50 : x
  2. Step 2: Convert to fraction form
    12,186.54/16,817.35 = 6,597.50/x
  3. Step 3: Cross multiply
    12,186.54x = 16,817.35 × 6,597.50
  4. Step 4: Simplify right side
    12,186.54x = 110,952,466.63
  5. Step 5: Solve for x
    x = 110,952,466.63/12,186.54
  6. Step 6: Final answer
    x = 9,104.51

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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.