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Finding the Fourth Proportional to 12,182.18, 16,808.55 and 7,146.14

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Solution

The fourth proportional to 12,182.18, 16,808.55 and 7,146.14 is: 9,860.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,182.18 : 16,808.55 = 7,146.14 : x
  2. Step 2: Convert to fraction form
    12,182.18/16,808.55 = 7,146.14/x
  3. Step 3: Cross multiply
    12,182.18x = 16,808.55 × 7,146.14
  4. Step 4: Simplify right side
    12,182.18x = 120,116,227.34
  5. Step 5: Solve for x
    x = 120,116,227.34/12,182.18
  6. Step 6: Final answer
    x = 9,860.00

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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.