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Finding the Fourth Proportional to 21,266.85, 31,857.91 and 14,586.99

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Solution

The fourth proportional to 21,266.85, 31,857.91 and 14,586.99 is: 21,851.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,266.85 : 31,857.91 = 14,586.99 : x
  2. Step 2: Convert to fraction form
    21,266.85/31,857.91 = 14,586.99/x
  3. Step 3: Cross multiply
    21,266.85x = 31,857.91 × 14,586.99
  4. Step 4: Simplify right side
    21,266.85x = 464,710,858.66
  5. Step 5: Solve for x
    x = 464,710,858.66/21,266.85
  6. Step 6: Final answer
    x = 21,851.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.