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Finding the Fourth Proportional to 25,199.72, 34,774.26 and 14,021

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Solution

The fourth proportional to 25,199.72, 34,774.26 and 14,021 is: 19,348.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,199.72 : 34,774.26 = 14,021 : x
  2. Step 2: Convert to fraction form
    25,199.72/34,774.26 = 14,021/x
  3. Step 3: Cross multiply
    25,199.72x = 34,774.26 × 14,021
  4. Step 4: Simplify right side
    25,199.72x = 487,569,899.46
  5. Step 5: Solve for x
    x = 487,569,899.46/25,199.72
  6. Step 6: Final answer
    x = 19,348.23

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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.