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Finding the Fourth Proportional to 15,643.40, 21,583.32 and 9,354.56

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Solution

The fourth proportional to 15,643.40, 21,583.32 and 9,354.56 is: 12,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.40 : 21,583.32 = 9,354.56 : x
  2. Step 2: Convert to fraction form
    15,643.40/21,583.32 = 9,354.56/x
  3. Step 3: Cross multiply
    15,643.40x = 21,583.32 × 9,354.56
  4. Step 4: Simplify right side
    15,643.40x = 201,902,461.94
  5. Step 5: Solve for x
    x = 201,902,461.94/15,643.40
  6. Step 6: Final answer
    x = 12,906.56

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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.