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Finding the Fourth Proportional to 20,372.76, 28,114.37 and 12,415

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Solution

The fourth proportional to 20,372.76, 28,114.37 and 12,415 is: 17,132.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,372.76 : 28,114.37 = 12,415 : x
  2. Step 2: Convert to fraction form
    20,372.76/28,114.37 = 12,415/x
  3. Step 3: Cross multiply
    20,372.76x = 28,114.37 × 12,415
  4. Step 4: Simplify right side
    20,372.76x = 349,039,903.55
  5. Step 5: Solve for x
    x = 349,039,903.55/20,372.76
  6. Step 6: Final answer
    x = 17,132.68

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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.