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Finding the Fourth Proportional to 21,047.16, 31,603.50 and 20,112.24

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Solution

The fourth proportional to 21,047.16, 31,603.50 and 20,112.24 is: 30,199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.16 : 31,603.50 = 20,112.24 : x
  2. Step 2: Convert to fraction form
    21,047.16/31,603.50 = 20,112.24/x
  3. Step 3: Cross multiply
    21,047.16x = 31,603.50 × 20,112.24
  4. Step 4: Simplify right side
    21,047.16x = 635,617,176.84
  5. Step 5: Solve for x
    x = 635,617,176.84/21,047.16
  6. Step 6: Final answer
    x = 30,199.66

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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.