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Finding the Fourth Proportional to 24,760.63, 37,083.75 and 14,878.14

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Solution

The fourth proportional to 24,760.63, 37,083.75 and 14,878.14 is: 22,282.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,760.63 : 37,083.75 = 14,878.14 : x
  2. Step 2: Convert to fraction form
    24,760.63/37,083.75 = 14,878.14/x
  3. Step 3: Cross multiply
    24,760.63x = 37,083.75 × 14,878.14
  4. Step 4: Simplify right side
    24,760.63x = 551,737,224.23
  5. Step 5: Solve for x
    x = 551,737,224.23/24,760.63
  6. Step 6: Final answer
    x = 22,282.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.