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Finding the Fourth Proportional to 25,532.64, 35,235.11 and 14,202.86

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Solution

The fourth proportional to 25,532.64, 35,235.11 and 14,202.86 is: 19,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,532.64 : 35,235.11 = 14,202.86 : x
  2. Step 2: Convert to fraction form
    25,532.64/35,235.11 = 14,202.86/x
  3. Step 3: Cross multiply
    25,532.64x = 35,235.11 × 14,202.86
  4. Step 4: Simplify right side
    25,532.64x = 500,439,193.75
  5. Step 5: Solve for x
    x = 500,439,193.75/25,532.64
  6. Step 6: Final answer
    x = 19,599.98

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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.