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Finding the Fourth Proportional to 25,595, 35,321.16 and 14,417

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Solution

The fourth proportional to 25,595, 35,321.16 and 14,417 is: 19,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,595 : 35,321.16 = 14,417 : x
  2. Step 2: Convert to fraction form
    25,595/35,321.16 = 14,417/x
  3. Step 3: Cross multiply
    25,595x = 35,321.16 × 14,417
  4. Step 4: Simplify right side
    25,595x = 509,225,163.72
  5. Step 5: Solve for x
    x = 509,225,163.72/25,595
  6. Step 6: Final answer
    x = 19,895.49

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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.