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Finding the Fourth Proportional to 27,858.69, 41,783.18 and 12,864.53

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Solution

The fourth proportional to 27,858.69, 41,783.18 and 12,864.53 is: 19,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.69 : 41,783.18 = 12,864.53 : x
  2. Step 2: Convert to fraction form
    27,858.69/41,783.18 = 12,864.53/x
  3. Step 3: Cross multiply
    27,858.69x = 41,783.18 × 12,864.53
  4. Step 4: Simplify right side
    27,858.69x = 537,520,908.28
  5. Step 5: Solve for x
    x = 537,520,908.28/27,858.69
  6. Step 6: Final answer
    x = 19,294.55

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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.