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Finding the Fourth Proportional to 25,883.50, 35,719.24 and 14,705.50

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Solution

The fourth proportional to 25,883.50, 35,719.24 and 14,705.50 is: 20,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,883.50 : 35,719.24 = 14,705.50 : x
  2. Step 2: Convert to fraction form
    25,883.50/35,719.24 = 14,705.50/x
  3. Step 3: Cross multiply
    25,883.50x = 35,719.24 × 14,705.50
  4. Step 4: Simplify right side
    25,883.50x = 525,269,283.82
  5. Step 5: Solve for x
    x = 525,269,283.82/25,883.50
  6. Step 6: Final answer
    x = 20,293.60

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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.