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Finding the Fourth Proportional to 25,728, 35,504.64 and 13,952

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Solution

The fourth proportional to 25,728, 35,504.64 and 13,952 is: 19,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728 : 35,504.64 = 13,952 : x
  2. Step 2: Convert to fraction form
    25,728/35,504.64 = 13,952/x
  3. Step 3: Cross multiply
    25,728x = 35,504.64 × 13,952
  4. Step 4: Simplify right side
    25,728x = 495,360,737.28
  5. Step 5: Solve for x
    x = 495,360,737.28/25,728
  6. Step 6: Final answer
    x = 19,253.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.