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Finding the Fourth Proportional to 21,788.86, 30,058.64 and 12,832.08

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Solution

The fourth proportional to 21,788.86, 30,058.64 and 12,832.08 is: 17,702.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,788.86 : 30,058.64 = 12,832.08 : x
  2. Step 2: Convert to fraction form
    21,788.86/30,058.64 = 12,832.08/x
  3. Step 3: Cross multiply
    21,788.86x = 30,058.64 × 12,832.08
  4. Step 4: Simplify right side
    21,788.86x = 385,714,722.88
  5. Step 5: Solve for x
    x = 385,714,722.88/21,788.86
  6. Step 6: Final answer
    x = 17,702.38

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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.