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Finding the Fourth Proportional to 22,794.38, 31,457.47 and 13,365.98

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Solution

The fourth proportional to 22,794.38, 31,457.47 and 13,365.98 is: 18,445.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,794.38 : 31,457.47 = 13,365.98 : x
  2. Step 2: Convert to fraction form
    22,794.38/31,457.47 = 13,365.98/x
  3. Step 3: Cross multiply
    22,794.38x = 31,457.47 × 13,365.98
  4. Step 4: Simplify right side
    22,794.38x = 420,459,914.87
  5. Step 5: Solve for x
    x = 420,459,914.87/22,794.38
  6. Step 6: Final answer
    x = 18,445.77

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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.