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Finding the Fourth Proportional to 22,830.93, 31,497.03 and 14,327.28

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Solution

The fourth proportional to 22,830.93, 31,497.03 and 14,327.28 is: 19,765.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.93 : 31,497.03 = 14,327.28 : x
  2. Step 2: Convert to fraction form
    22,830.93/31,497.03 = 14,327.28/x
  3. Step 3: Cross multiply
    22,830.93x = 31,497.03 × 14,327.28
  4. Step 4: Simplify right side
    22,830.93x = 451,266,767.98
  5. Step 5: Solve for x
    x = 451,266,767.98/22,830.93
  6. Step 6: Final answer
    x = 19,765.59

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