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Finding the Fourth Proportional to 22,529.98, 31,090.88 and 12,458.84

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Solution

The fourth proportional to 22,529.98, 31,090.88 and 12,458.84 is: 17,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,529.98 : 31,090.88 = 12,458.84 : x
  2. Step 2: Convert to fraction form
    22,529.98/31,090.88 = 12,458.84/x
  3. Step 3: Cross multiply
    22,529.98x = 31,090.88 × 12,458.84
  4. Step 4: Simplify right side
    22,529.98x = 387,356,299.38
  5. Step 5: Solve for x
    x = 387,356,299.38/22,529.98
  6. Step 6: Final answer
    x = 17,192.93

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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.