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Finding the Fourth Proportional to 25,534.50, 35,237.61 and 14,356.50

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Solution

The fourth proportional to 25,534.50, 35,237.61 and 14,356.50 is: 19,811.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534.50 : 35,237.61 = 14,356.50 : x
  2. Step 2: Convert to fraction form
    25,534.50/35,237.61 = 14,356.50/x
  3. Step 3: Cross multiply
    25,534.50x = 35,237.61 × 14,356.50
  4. Step 4: Simplify right side
    25,534.50x = 505,888,747.97
  5. Step 5: Solve for x
    x = 505,888,747.97/25,534.50
  6. Step 6: Final answer
    x = 19,811.97

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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.