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Finding the Fourth Proportional to 25,897.20, 35,719.20 and 16,930.32

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Solution

The fourth proportional to 25,897.20, 35,719.20 and 16,930.32 is: 23,351.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.20 : 35,719.20 = 16,930.32 : x
  2. Step 2: Convert to fraction form
    25,897.20/35,719.20 = 16,930.32/x
  3. Step 3: Cross multiply
    25,897.20x = 35,719.20 × 16,930.32
  4. Step 4: Simplify right side
    25,897.20x = 604,737,486.14
  5. Step 5: Solve for x
    x = 604,737,486.14/25,897.20
  6. Step 6: Final answer
    x = 23,351.46

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1.5x scale

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.