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Finding the Fourth Proportional to 12,595.44, 18,892.80 and 3,830.40

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Solution

The fourth proportional to 12,595.44, 18,892.80 and 3,830.40 is: 5,745.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.44 : 18,892.80 = 3,830.40 : x
  2. Step 2: Convert to fraction form
    12,595.44/18,892.80 = 3,830.40/x
  3. Step 3: Cross multiply
    12,595.44x = 18,892.80 × 3,830.40
  4. Step 4: Simplify right side
    12,595.44x = 72,366,981.12
  5. Step 5: Solve for x
    x = 72,366,981.12/12,595.44
  6. Step 6: Final answer
    x = 5,745.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.