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Finding the Fourth Proportional to 22,474.32, 31,014.72 and 12,403.12

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Solution

The fourth proportional to 22,474.32, 31,014.72 and 12,403.12 is: 17,116.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474.32 : 31,014.72 = 12,403.12 : x
  2. Step 2: Convert to fraction form
    22,474.32/31,014.72 = 12,403.12/x
  3. Step 3: Cross multiply
    22,474.32x = 31,014.72 × 12,403.12
  4. Step 4: Simplify right side
    22,474.32x = 384,679,293.93
  5. Step 5: Solve for x
    x = 384,679,293.93/22,474.32
  6. Step 6: Final answer
    x = 17,116.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.