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Finding the Fourth Proportional to 22,738.27, 31,374.64 and 12,666.46

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Solution

The fourth proportional to 22,738.27, 31,374.64 and 12,666.46 is: 17,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,738.27 : 31,374.64 = 12,666.46 : x
  2. Step 2: Convert to fraction form
    22,738.27/31,374.64 = 12,666.46/x
  3. Step 3: Cross multiply
    22,738.27x = 31,374.64 × 12,666.46
  4. Step 4: Simplify right side
    22,738.27x = 397,405,402.37
  5. Step 5: Solve for x
    x = 397,405,402.37/22,738.27
  6. Step 6: Final answer
    x = 17,477.38

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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.