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Finding the Fourth Proportional to 25,893.54, 35,731.19 and 14,564.88

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Solution

The fourth proportional to 25,893.54, 35,731.19 and 14,564.88 is: 20,098.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,893.54 : 35,731.19 = 14,564.88 : x
  2. Step 2: Convert to fraction form
    25,893.54/35,731.19 = 14,564.88/x
  3. Step 3: Cross multiply
    25,893.54x = 35,731.19 × 14,564.88
  4. Step 4: Simplify right side
    25,893.54x = 520,420,531.02
  5. Step 5: Solve for x
    x = 520,420,531.02/25,893.54
  6. Step 6: Final answer
    x = 20,098.47

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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.