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Finding the Fourth Proportional to 25,280.94, 34,893 and 16,783.77

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Solution

The fourth proportional to 25,280.94, 34,893 and 16,783.77 is: 23,165.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,280.94 : 34,893 = 16,783.77 : x
  2. Step 2: Convert to fraction form
    25,280.94/34,893 = 16,783.77/x
  3. Step 3: Cross multiply
    25,280.94x = 34,893 × 16,783.77
  4. Step 4: Simplify right side
    25,280.94x = 585,636,086.61
  5. Step 5: Solve for x
    x = 585,636,086.61/25,280.94
  6. Step 6: Final answer
    x = 23,165.12

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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.