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Finding the Fourth Proportional to 19,205.96, 26,501.82 and 10,706

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Solution

The fourth proportional to 19,205.96, 26,501.82 and 10,706 is: 14,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.96 : 26,501.82 = 10,706 : x
  2. Step 2: Convert to fraction form
    19,205.96/26,501.82 = 10,706/x
  3. Step 3: Cross multiply
    19,205.96x = 26,501.82 × 10,706
  4. Step 4: Simplify right side
    19,205.96x = 283,728,484.92
  5. Step 5: Solve for x
    x = 283,728,484.92/19,205.96
  6. Step 6: Final answer
    x = 14,772.94

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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.