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Finding the Fourth Proportional to 14,386.73, 21,588.32 and 7,813.49

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Solution

The fourth proportional to 14,386.73, 21,588.32 and 7,813.49 is: 11,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.73 : 21,588.32 = 7,813.49 : x
  2. Step 2: Convert to fraction form
    14,386.73/21,588.32 = 7,813.49/x
  3. Step 3: Cross multiply
    14,386.73x = 21,588.32 × 7,813.49
  4. Step 4: Simplify right side
    14,386.73x = 168,680,034.03
  5. Step 5: Solve for x
    x = 168,680,034.03/14,386.73
  6. Step 6: Final answer
    x = 11,724.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.