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Finding the Fourth Proportional to 25,602, 35,329.20 and 16,511.28

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Solution

The fourth proportional to 25,602, 35,329.20 and 16,511.28 is: 22,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,602 : 35,329.20 = 16,511.28 : x
  2. Step 2: Convert to fraction form
    25,602/35,329.20 = 16,511.28/x
  3. Step 3: Cross multiply
    25,602x = 35,329.20 × 16,511.28
  4. Step 4: Simplify right side
    25,602x = 583,330,313.38
  5. Step 5: Solve for x
    x = 583,330,313.38/25,602
  6. Step 6: Final answer
    x = 22,784.56

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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.