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Finding the Fourth Proportional to 25,898.64, 35,721.60 and 25,509.84

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Solution

The fourth proportional to 25,898.64, 35,721.60 and 25,509.84 is: 35,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,898.64 : 35,721.60 = 25,509.84 : x
  2. Step 2: Convert to fraction form
    25,898.64/35,721.60 = 25,509.84/x
  3. Step 3: Cross multiply
    25,898.64x = 35,721.60 × 25,509.84
  4. Step 4: Simplify right side
    25,898.64x = 911,252,300.54
  5. Step 5: Solve for x
    x = 911,252,300.54/25,898.64
  6. Step 6: Final answer
    x = 35,185.33

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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.