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Finding the Fourth Proportional to 14,132.97, 19,505.04 and 9,033.18

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Solution

The fourth proportional to 14,132.97, 19,505.04 and 9,033.18 is: 12,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.97 : 19,505.04 = 9,033.18 : x
  2. Step 2: Convert to fraction form
    14,132.97/19,505.04 = 9,033.18/x
  3. Step 3: Cross multiply
    14,132.97x = 19,505.04 × 9,033.18
  4. Step 4: Simplify right side
    14,132.97x = 176,192,537.23
  5. Step 5: Solve for x
    x = 176,192,537.23/14,132.97
  6. Step 6: Final answer
    x = 12,466.77

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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.