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Finding the Fourth Proportional to 12,206.40, 16,842.75 and 6,901.11

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Solution

The fourth proportional to 12,206.40, 16,842.75 and 6,901.11 is: 9,522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.40 : 16,842.75 = 6,901.11 : x
  2. Step 2: Convert to fraction form
    12,206.40/16,842.75 = 6,901.11/x
  3. Step 3: Cross multiply
    12,206.40x = 16,842.75 × 6,901.11
  4. Step 4: Simplify right side
    12,206.40x = 116,233,670.45
  5. Step 5: Solve for x
    x = 116,233,670.45/12,206.40
  6. Step 6: Final answer
    x = 9,522.35

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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.