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Finding the Fourth Proportional to 22,477.90, 31,019.47 and 12,406.34

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Solution

The fourth proportional to 22,477.90, 31,019.47 and 12,406.34 is: 17,120.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.90 : 31,019.47 = 12,406.34 : x
  2. Step 2: Convert to fraction form
    22,477.90/31,019.47 = 12,406.34/x
  3. Step 3: Cross multiply
    22,477.90x = 31,019.47 × 12,406.34
  4. Step 4: Simplify right side
    22,477.90x = 384,838,091.44
  5. Step 5: Solve for x
    x = 384,838,091.44/22,477.90
  6. Step 6: Final answer
    x = 17,120.73

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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.