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Finding the Fourth Proportional to 19,538.76, 26,963.50 and 10,586.28

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Solution

The fourth proportional to 19,538.76, 26,963.50 and 10,586.28 is: 14,609.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.76 : 26,963.50 = 10,586.28 : x
  2. Step 2: Convert to fraction form
    19,538.76/26,963.50 = 10,586.28/x
  3. Step 3: Cross multiply
    19,538.76x = 26,963.50 × 10,586.28
  4. Step 4: Simplify right side
    19,538.76x = 285,443,160.78
  5. Step 5: Solve for x
    x = 285,443,160.78/19,538.76
  6. Step 6: Final answer
    x = 14,609.07

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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.