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Finding the Fourth Proportional to 22,903.36, 31,597.49 and 13,341.81

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Solution

The fourth proportional to 22,903.36, 31,597.49 and 13,341.81 is: 18,406.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,903.36 : 31,597.49 = 13,341.81 : x
  2. Step 2: Convert to fraction form
    22,903.36/31,597.49 = 13,341.81/x
  3. Step 3: Cross multiply
    22,903.36x = 31,597.49 × 13,341.81
  4. Step 4: Simplify right side
    22,903.36x = 421,567,859.90
  5. Step 5: Solve for x
    x = 421,567,859.90/22,903.36
  6. Step 6: Final answer
    x = 18,406.38

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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.