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Finding the Fourth Proportional to 19,125.50, 26,393.20 and 10,742

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Solution

The fourth proportional to 19,125.50, 26,393.20 and 10,742 is: 14,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,125.50 : 26,393.20 = 10,742 : x
  2. Step 2: Convert to fraction form
    19,125.50/26,393.20 = 10,742/x
  3. Step 3: Cross multiply
    19,125.50x = 26,393.20 × 10,742
  4. Step 4: Simplify right side
    19,125.50x = 283,515,754.40
  5. Step 5: Solve for x
    x = 283,515,754.40/19,125.50
  6. Step 6: Final answer
    x = 14,823.97

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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.