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Finding the Fourth Proportional to 20,712.87, 31,010.99 and 15,762.15

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Solution

The fourth proportional to 20,712.87, 31,010.99 and 15,762.15 is: 23,598.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,712.87 : 31,010.99 = 15,762.15 : x
  2. Step 2: Convert to fraction form
    20,712.87/31,010.99 = 15,762.15/x
  3. Step 3: Cross multiply
    20,712.87x = 31,010.99 × 15,762.15
  4. Step 4: Simplify right side
    20,712.87x = 488,799,797.22
  5. Step 5: Solve for x
    x = 488,799,797.22/20,712.87
  6. Step 6: Final answer
    x = 23,598.84

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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.