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Finding the Fourth Proportional to 19,120.50, 26,386.29 and 10,737

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Solution

The fourth proportional to 19,120.50, 26,386.29 and 10,737 is: 14,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,120.50 : 26,386.29 = 10,737 : x
  2. Step 2: Convert to fraction form
    19,120.50/26,386.29 = 10,737/x
  3. Step 3: Cross multiply
    19,120.50x = 26,386.29 × 10,737
  4. Step 4: Simplify right side
    19,120.50x = 283,309,595.73
  5. Step 5: Solve for x
    x = 283,309,595.73/19,120.50
  6. Step 6: Final answer
    x = 14,817.06

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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.