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Finding the Fourth Proportional to 25,527.60, 35,228.96 and 14,200.28

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Solution

The fourth proportional to 25,527.60, 35,228.96 and 14,200.28 is: 19,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,527.60 : 35,228.96 = 14,200.28 : x
  2. Step 2: Convert to fraction form
    25,527.60/35,228.96 = 14,200.28/x
  3. Step 3: Cross multiply
    25,527.60x = 35,228.96 × 14,200.28
  4. Step 4: Simplify right side
    25,527.60x = 500,261,096.11
  5. Step 5: Solve for x
    x = 500,261,096.11/25,527.60
  6. Step 6: Final answer
    x = 19,596.87

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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.