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Finding the Fourth Proportional to 19,425, 26,806.50 and 10,593

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Solution

The fourth proportional to 19,425, 26,806.50 and 10,593 is: 14,618.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,425 : 26,806.50 = 10,593 : x
  2. Step 2: Convert to fraction form
    19,425/26,806.50 = 10,593/x
  3. Step 3: Cross multiply
    19,425x = 26,806.50 × 10,593
  4. Step 4: Simplify right side
    19,425x = 283,961,254.50
  5. Step 5: Solve for x
    x = 283,961,254.50/19,425
  6. Step 6: Final answer
    x = 14,618.34

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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.