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Finding the Fourth Proportional to 25,600.99, 35,331.42 and 14,274.16

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Solution

The fourth proportional to 25,600.99, 35,331.42 and 14,274.16 is: 19,699.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.99 : 35,331.42 = 14,274.16 : x
  2. Step 2: Convert to fraction form
    25,600.99/35,331.42 = 14,274.16/x
  3. Step 3: Cross multiply
    25,600.99x = 35,331.42 × 14,274.16
  4. Step 4: Simplify right side
    25,600.99x = 504,326,342.11
  5. Step 5: Solve for x
    x = 504,326,342.11/25,600.99
  6. Step 6: Final answer
    x = 19,699.49

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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.