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Finding the Fourth Proportional to 22,902.45, 31,606.29 and 12,830.98

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Solution

The fourth proportional to 22,902.45, 31,606.29 and 12,830.98 is: 17,707.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.45 : 31,606.29 = 12,830.98 : x
  2. Step 2: Convert to fraction form
    22,902.45/31,606.29 = 12,830.98/x
  3. Step 3: Cross multiply
    22,902.45x = 31,606.29 × 12,830.98
  4. Step 4: Simplify right side
    22,902.45x = 405,539,516.83
  5. Step 5: Solve for x
    x = 405,539,516.83/22,902.45
  6. Step 6: Final answer
    x = 17,707.25

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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.