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Finding the Fourth Proportional to 13,264.14, 18,333.78 and 11,658.75

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Solution

The fourth proportional to 13,264.14, 18,333.78 and 11,658.75 is: 16,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.14 : 18,333.78 = 11,658.75 : x
  2. Step 2: Convert to fraction form
    13,264.14/18,333.78 = 11,658.75/x
  3. Step 3: Cross multiply
    13,264.14x = 18,333.78 × 11,658.75
  4. Step 4: Simplify right side
    13,264.14x = 213,748,957.58
  5. Step 5: Solve for x
    x = 213,748,957.58/13,264.14
  6. Step 6: Final answer
    x = 16,114.80

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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.