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Finding the Fourth Proportional to 12,595.69, 18,894.44 and 3,830.57

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Solution

The fourth proportional to 12,595.69, 18,894.44 and 3,830.57 is: 5,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.69 : 18,894.44 = 3,830.57 : x
  2. Step 2: Convert to fraction form
    12,595.69/18,894.44 = 3,830.57/x
  3. Step 3: Cross multiply
    12,595.69x = 18,894.44 × 3,830.57
  4. Step 4: Simplify right side
    12,595.69x = 72,376,455.88
  5. Step 5: Solve for x
    x = 72,376,455.88/12,595.69
  6. Step 6: Final answer
    x = 5,746.13

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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.