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Finding the Fourth Proportional to 16,953.84, 25,427.40 and 13,686

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Solution

The fourth proportional to 16,953.84, 25,427.40 and 13,686 is: 20,526.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,953.84 : 25,427.40 = 13,686 : x
  2. Step 2: Convert to fraction form
    16,953.84/25,427.40 = 13,686/x
  3. Step 3: Cross multiply
    16,953.84x = 25,427.40 × 13,686
  4. Step 4: Simplify right side
    16,953.84x = 347,999,396.40
  5. Step 5: Solve for x
    x = 347,999,396.40/16,953.84
  6. Step 6: Final answer
    x = 20,526.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.