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Finding the Fourth Proportional to 22,901.96, 31,605.86 and 12,830.42

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Solution

The fourth proportional to 22,901.96, 31,605.86 and 12,830.42 is: 17,706.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.96 : 31,605.86 = 12,830.42 : x
  2. Step 2: Convert to fraction form
    22,901.96/31,605.86 = 12,830.42/x
  3. Step 3: Cross multiply
    22,901.96x = 31,605.86 × 12,830.42
  4. Step 4: Simplify right side
    22,901.96x = 405,516,458.26
  5. Step 5: Solve for x
    x = 405,516,458.26/22,901.96
  6. Step 6: Final answer
    x = 17,706.63

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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.