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Finding the Fourth Proportional to 22,533.85, 31,096.12 and 12,462.01

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Solution

The fourth proportional to 22,533.85, 31,096.12 and 12,462.01 is: 17,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.85 : 31,096.12 = 12,462.01 : x
  2. Step 2: Convert to fraction form
    22,533.85/31,096.12 = 12,462.01/x
  3. Step 3: Cross multiply
    22,533.85x = 31,096.12 × 12,462.01
  4. Step 4: Simplify right side
    22,533.85x = 387,520,158.40
  5. Step 5: Solve for x
    x = 387,520,158.40/22,533.85
  6. Step 6: Final answer
    x = 17,197.25

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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.