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Finding the Fourth Proportional to 12,187.46, 16,818.72 and 6,598.46

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Solution

The fourth proportional to 12,187.46, 16,818.72 and 6,598.46 is: 9,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,187.46 : 16,818.72 = 6,598.46 : x
  2. Step 2: Convert to fraction form
    12,187.46/16,818.72 = 6,598.46/x
  3. Step 3: Cross multiply
    12,187.46x = 16,818.72 × 6,598.46
  4. Step 4: Simplify right side
    12,187.46x = 110,977,651.17
  5. Step 5: Solve for x
    x = 110,977,651.17/12,187.46
  6. Step 6: Final answer
    x = 9,105.89

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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.