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Finding the Fourth Proportional to 15,638.06, 21,580.53 and 10,049.06

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Solution

The fourth proportional to 15,638.06, 21,580.53 and 10,049.06 is: 13,867.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.06 : 21,580.53 = 10,049.06 : x
  2. Step 2: Convert to fraction form
    15,638.06/21,580.53 = 10,049.06/x
  3. Step 3: Cross multiply
    15,638.06x = 21,580.53 × 10,049.06
  4. Step 4: Simplify right side
    15,638.06x = 216,864,057.07
  5. Step 5: Solve for x
    x = 216,864,057.07/15,638.06
  6. Step 6: Final answer
    x = 13,867.71

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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.