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Finding the Fourth Proportional to 28,289.34, 39,039.21 and 15,714

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Solution

The fourth proportional to 28,289.34, 39,039.21 and 15,714 is: 21,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,289.34 : 39,039.21 = 15,714 : x
  2. Step 2: Convert to fraction form
    28,289.34/39,039.21 = 15,714/x
  3. Step 3: Cross multiply
    28,289.34x = 39,039.21 × 15,714
  4. Step 4: Simplify right side
    28,289.34x = 613,462,145.94
  5. Step 5: Solve for x
    x = 613,462,145.94/28,289.34
  6. Step 6: Final answer
    x = 21,685.28

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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.