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Finding the Fourth Proportional to 25,889.64, 35,727.54 and 14,711.64

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Solution

The fourth proportional to 25,889.64, 35,727.54 and 14,711.64 is: 20,301.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889.64 : 35,727.54 = 14,711.64 : x
  2. Step 2: Convert to fraction form
    25,889.64/35,727.54 = 14,711.64/x
  3. Step 3: Cross multiply
    25,889.64x = 35,727.54 × 14,711.64
  4. Step 4: Simplify right side
    25,889.64x = 525,610,706.57
  5. Step 5: Solve for x
    x = 525,610,706.57/25,889.64
  6. Step 6: Final answer
    x = 20,301.97

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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.