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Finding the Fourth Proportional to 21,830.16, 30,124.32 and 12,878

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Solution

The fourth proportional to 21,830.16, 30,124.32 and 12,878 is: 17,770.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.16 : 30,124.32 = 12,878 : x
  2. Step 2: Convert to fraction form
    21,830.16/30,124.32 = 12,878/x
  3. Step 3: Cross multiply
    21,830.16x = 30,124.32 × 12,878
  4. Step 4: Simplify right side
    21,830.16x = 387,940,992.96
  5. Step 5: Solve for x
    x = 387,940,992.96/21,830.16
  6. Step 6: Final answer
    x = 17,770.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.