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Finding the Fourth Proportional to 19,828.26, 27,363.70 and 10,875.78

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Solution

The fourth proportional to 19,828.26, 27,363.70 and 10,875.78 is: 15,008.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,828.26 : 27,363.70 = 10,875.78 : x
  2. Step 2: Convert to fraction form
    19,828.26/27,363.70 = 10,875.78/x
  3. Step 3: Cross multiply
    19,828.26x = 27,363.70 × 10,875.78
  4. Step 4: Simplify right side
    19,828.26x = 297,601,581.19
  5. Step 5: Solve for x
    x = 297,601,581.19/19,828.26
  6. Step 6: Final answer
    x = 15,008.96

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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.