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Finding the Fourth Proportional to 25,756.38, 35,497.44 and 16,308.54

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Solution

The fourth proportional to 25,756.38, 35,497.44 and 16,308.54 is: 22,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,756.38 : 35,497.44 = 16,308.54 : x
  2. Step 2: Convert to fraction form
    25,756.38/35,497.44 = 16,308.54/x
  3. Step 3: Cross multiply
    25,756.38x = 35,497.44 × 16,308.54
  4. Step 4: Simplify right side
    25,756.38x = 578,911,420.14
  5. Step 5: Solve for x
    x = 578,911,420.14/25,756.38
  6. Step 6: Final answer
    x = 22,476.43

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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.