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Finding the Fourth Proportional to 22,763.46, 31,415.63 and 13,813.22

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Solution

The fourth proportional to 22,763.46, 31,415.63 and 13,813.22 is: 19,063.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,763.46 : 31,415.63 = 13,813.22 : x
  2. Step 2: Convert to fraction form
    22,763.46/31,415.63 = 13,813.22/x
  3. Step 3: Cross multiply
    22,763.46x = 31,415.63 × 13,813.22
  4. Step 4: Simplify right side
    22,763.46x = 433,951,008.63
  5. Step 5: Solve for x
    x = 433,951,008.63/22,763.46
  6. Step 6: Final answer
    x = 19,063.49

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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.