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Finding the Fourth Proportional to 25,730.34, 35,507.87 and 13,954.34

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Solution

The fourth proportional to 25,730.34, 35,507.87 and 13,954.34 is: 19,256.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,730.34 : 35,507.87 = 13,954.34 : x
  2. Step 2: Convert to fraction form
    25,730.34/35,507.87 = 13,954.34/x
  3. Step 3: Cross multiply
    25,730.34x = 35,507.87 × 13,954.34
  4. Step 4: Simplify right side
    25,730.34x = 495,489,084.86
  5. Step 5: Solve for x
    x = 495,489,084.86/25,730.34
  6. Step 6: Final answer
    x = 19,256.99

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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.