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Finding the Fourth Proportional to 18,569.35, 27,878.75 and 10,783.75

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Solution

The fourth proportional to 18,569.35, 27,878.75 and 10,783.75 is: 16,189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,569.35 : 27,878.75 = 10,783.75 : x
  2. Step 2: Convert to fraction form
    18,569.35/27,878.75 = 10,783.75/x
  3. Step 3: Cross multiply
    18,569.35x = 27,878.75 × 10,783.75
  4. Step 4: Simplify right side
    18,569.35x = 300,637,470.31
  5. Step 5: Solve for x
    x = 300,637,470.31/18,569.35
  6. Step 6: Final answer
    x = 16,189.98

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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.