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Finding the Fourth Proportional to 21,830.64, 30,124.84 and 12,878.52

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Solution

The fourth proportional to 21,830.64, 30,124.84 and 12,878.52 is: 17,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.64 : 30,124.84 = 12,878.52 : x
  2. Step 2: Convert to fraction form
    21,830.64/30,124.84 = 12,878.52/x
  3. Step 3: Cross multiply
    21,830.64x = 30,124.84 × 12,878.52
  4. Step 4: Simplify right side
    21,830.64x = 387,963,354.44
  5. Step 5: Solve for x
    x = 387,963,354.44/21,830.64
  6. Step 6: Final answer
    x = 17,771.51

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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.