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Finding the Fourth Proportional to 21,590.01, 29,782.35 and 13,814.21

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Solution

The fourth proportional to 21,590.01, 29,782.35 and 13,814.21 is: 19,056.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,590.01 : 29,782.35 = 13,814.21 : x
  2. Step 2: Convert to fraction form
    21,590.01/29,782.35 = 13,814.21/x
  3. Step 3: Cross multiply
    21,590.01x = 29,782.35 × 13,814.21
  4. Step 4: Simplify right side
    21,590.01x = 411,419,711.65
  5. Step 5: Solve for x
    x = 411,419,711.65/21,590.01
  6. Step 6: Final answer
    x = 19,056.02

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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.