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Finding the Fourth Proportional to 10,024.21, 13,825.02 and 7,512.22

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Solution

The fourth proportional to 10,024.21, 13,825.02 and 7,512.22 is: 10,360.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.21 : 13,825.02 = 7,512.22 : x
  2. Step 2: Convert to fraction form
    10,024.21/13,825.02 = 7,512.22/x
  3. Step 3: Cross multiply
    10,024.21x = 13,825.02 × 7,512.22
  4. Step 4: Simplify right side
    10,024.21x = 103,856,591.74
  5. Step 5: Solve for x
    x = 103,856,591.74/10,024.21
  6. Step 6: Final answer
    x = 10,360.58

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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.