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Finding the Fourth Proportional to 13,214.42, 18,235.76 and 7,246.13

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Solution

The fourth proportional to 13,214.42, 18,235.76 and 7,246.13 is: 9,999.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,214.42 : 18,235.76 = 7,246.13 : x
  2. Step 2: Convert to fraction form
    13,214.42/18,235.76 = 7,246.13/x
  3. Step 3: Cross multiply
    13,214.42x = 18,235.76 × 7,246.13
  4. Step 4: Simplify right side
    13,214.42x = 132,138,687.61
  5. Step 5: Solve for x
    x = 132,138,687.61/13,214.42
  6. Step 6: Final answer
    x = 9,999.58

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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.