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Finding the Fourth Proportional to 27,564.78, 38,039.40 and 14,989.50

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Solution

The fourth proportional to 27,564.78, 38,039.40 and 14,989.50 is: 20,685.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,564.78 : 38,039.40 = 14,989.50 : x
  2. Step 2: Convert to fraction form
    27,564.78/38,039.40 = 14,989.50/x
  3. Step 3: Cross multiply
    27,564.78x = 38,039.40 × 14,989.50
  4. Step 4: Simplify right side
    27,564.78x = 570,191,586.30
  5. Step 5: Solve for x
    x = 570,191,586.30/27,564.78
  6. Step 6: Final answer
    x = 20,685.51

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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.