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Finding the Fourth Proportional to 27,840.72, 38,457 and 20,754.84

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Solution

The fourth proportional to 27,840.72, 38,457 and 20,754.84 is: 28,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,840.72 : 38,457 = 20,754.84 : x
  2. Step 2: Convert to fraction form
    27,840.72/38,457 = 20,754.84/x
  3. Step 3: Cross multiply
    27,840.72x = 38,457 × 20,754.84
  4. Step 4: Simplify right side
    27,840.72x = 798,168,881.88
  5. Step 5: Solve for x
    x = 798,168,881.88/27,840.72
  6. Step 6: Final answer
    x = 28,669.12

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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.