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Finding the Fourth Proportional to 15,644.13, 21,588.89 and 9,356.50

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Solution

The fourth proportional to 15,644.13, 21,588.89 and 9,356.50 is: 12,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644.13 : 21,588.89 = 9,356.50 : x
  2. Step 2: Convert to fraction form
    15,644.13/21,588.89 = 9,356.50/x
  3. Step 3: Cross multiply
    15,644.13x = 21,588.89 × 9,356.50
  4. Step 4: Simplify right side
    15,644.13x = 201,996,449.29
  5. Step 5: Solve for x
    x = 201,996,449.29/15,644.13
  6. Step 6: Final answer
    x = 12,911.96

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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.