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Finding the Fourth Proportional to 27,403.67, 37,817.07 and 14,828.42

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Solution

The fourth proportional to 27,403.67, 37,817.07 and 14,828.42 is: 20,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,403.67 : 37,817.07 = 14,828.42 : x
  2. Step 2: Convert to fraction form
    27,403.67/37,817.07 = 14,828.42/x
  3. Step 3: Cross multiply
    27,403.67x = 37,817.07 × 14,828.42
  4. Step 4: Simplify right side
    27,403.67x = 560,767,397.13
  5. Step 5: Solve for x
    x = 560,767,397.13/27,403.67
  6. Step 6: Final answer
    x = 20,463.22

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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.