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Finding the Fourth Proportional to 22,499.06, 31,048.08 and 12,427.34

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Solution

The fourth proportional to 22,499.06, 31,048.08 and 12,427.34 is: 17,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,499.06 : 31,048.08 = 12,427.34 : x
  2. Step 2: Convert to fraction form
    22,499.06/31,048.08 = 12,427.34/x
  3. Step 3: Cross multiply
    22,499.06x = 31,048.08 × 12,427.34
  4. Step 4: Simplify right side
    22,499.06x = 385,845,046.51
  5. Step 5: Solve for x
    x = 385,845,046.51/22,499.06
  6. Step 6: Final answer
    x = 17,149.39

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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.