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Finding the Fourth Proportional to 19,205.15, 26,500.96 and 10,706.63

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Solution

The fourth proportional to 19,205.15, 26,500.96 and 10,706.63 is: 14,773.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,205.15 : 26,500.96 = 10,706.63 : x
  2. Step 2: Convert to fraction form
    19,205.15/26,500.96 = 10,706.63/x
  3. Step 3: Cross multiply
    19,205.15x = 26,500.96 × 10,706.63
  4. Step 4: Simplify right side
    19,205.15x = 283,735,973.36
  5. Step 5: Solve for x
    x = 283,735,973.36/19,205.15
  6. Step 6: Final answer
    x = 14,773.95

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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.