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Finding the Fourth Proportional to 27,403.56, 37,817.02 and 14,828.32

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Solution

The fourth proportional to 27,403.56, 37,817.02 and 14,828.32 is: 20,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,403.56 : 37,817.02 = 14,828.32 : x
  2. Step 2: Convert to fraction form
    27,403.56/37,817.02 = 14,828.32/x
  3. Step 3: Cross multiply
    27,403.56x = 37,817.02 × 14,828.32
  4. Step 4: Simplify right side
    27,403.56x = 560,762,874.01
  5. Step 5: Solve for x
    x = 560,762,874.01/27,403.56
  6. Step 6: Final answer
    x = 20,463.14

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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.