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Finding the Fourth Proportional to 28,590.78, 42,895 and 12,809.10

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Solution

The fourth proportional to 28,590.78, 42,895 and 12,809.10 is: 19,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,590.78 : 42,895 = 12,809.10 : x
  2. Step 2: Convert to fraction form
    28,590.78/42,895 = 12,809.10/x
  3. Step 3: Cross multiply
    28,590.78x = 42,895 × 12,809.10
  4. Step 4: Simplify right side
    28,590.78x = 549,446,344.50
  5. Step 5: Solve for x
    x = 549,446,344.50/28,590.78
  6. Step 6: Final answer
    x = 19,217.61

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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.