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Finding the Fourth Proportional to 19,118.50, 26,383.62 and 10,735

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Solution

The fourth proportional to 19,118.50, 26,383.62 and 10,735 is: 14,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,118.50 : 26,383.62 = 10,735 : x
  2. Step 2: Convert to fraction form
    19,118.50/26,383.62 = 10,735/x
  3. Step 3: Cross multiply
    19,118.50x = 26,383.62 × 10,735
  4. Step 4: Simplify right side
    19,118.50x = 283,228,160.70
  5. Step 5: Solve for x
    x = 283,228,160.70/19,118.50
  6. Step 6: Final answer
    x = 14,814.35

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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.