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Finding the Fourth Proportional to 22,478.10, 31,019.74 and 12,406.53

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Solution

The fourth proportional to 22,478.10, 31,019.74 and 12,406.53 is: 17,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,478.10 : 31,019.74 = 12,406.53 : x
  2. Step 2: Convert to fraction form
    22,478.10/31,019.74 = 12,406.53/x
  3. Step 3: Cross multiply
    22,478.10x = 31,019.74 × 12,406.53
  4. Step 4: Simplify right side
    22,478.10x = 384,847,334.90
  5. Step 5: Solve for x
    x = 384,847,334.90/22,478.10
  6. Step 6: Final answer
    x = 17,120.99

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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.