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Finding the Fourth Proportional to 22,813.26, 31,482.54 and 13,381.98

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Solution

The fourth proportional to 22,813.26, 31,482.54 and 13,381.98 is: 18,467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,813.26 : 31,482.54 = 13,381.98 : x
  2. Step 2: Convert to fraction form
    22,813.26/31,482.54 = 13,381.98/x
  3. Step 3: Cross multiply
    22,813.26x = 31,482.54 × 13,381.98
  4. Step 4: Simplify right side
    22,813.26x = 421,298,720.63
  5. Step 5: Solve for x
    x = 421,298,720.63/22,813.26
  6. Step 6: Final answer
    x = 18,467.27

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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.