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Finding the Fourth Proportional to 22,890.88, 31,590.84 and 13,456

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Solution

The fourth proportional to 22,890.88, 31,590.84 and 13,456 is: 18,570.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,890.88 : 31,590.84 = 13,456 : x
  2. Step 2: Convert to fraction form
    22,890.88/31,590.84 = 13,456/x
  3. Step 3: Cross multiply
    22,890.88x = 31,590.84 × 13,456
  4. Step 4: Simplify right side
    22,890.88x = 425,086,343.04
  5. Step 5: Solve for x
    x = 425,086,343.04/22,890.88
  6. Step 6: Final answer
    x = 18,570.12

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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.