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Finding the Fourth Proportional to 20,762.17, 31,152.36 and 10,899.14

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Solution

The fourth proportional to 20,762.17, 31,152.36 and 10,899.14 is: 16,353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.17 : 31,152.36 = 10,899.14 : x
  2. Step 2: Convert to fraction form
    20,762.17/31,152.36 = 10,899.14/x
  3. Step 3: Cross multiply
    20,762.17x = 31,152.36 × 10,899.14
  4. Step 4: Simplify right side
    20,762.17x = 339,533,993.31
  5. Step 5: Solve for x
    x = 339,533,993.31/20,762.17
  6. Step 6: Final answer
    x = 16,353.49

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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.