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Finding the Fourth Proportional to 13,715.75, 18,927.64 and 7,748.59

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Solution

The fourth proportional to 13,715.75, 18,927.64 and 7,748.59 is: 10,692.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.75 : 18,927.64 = 7,748.59 : x
  2. Step 2: Convert to fraction form
    13,715.75/18,927.64 = 7,748.59/x
  3. Step 3: Cross multiply
    13,715.75x = 18,927.64 × 7,748.59
  4. Step 4: Simplify right side
    13,715.75x = 146,662,455.34
  5. Step 5: Solve for x
    x = 146,662,455.34/13,715.75
  6. Step 6: Final answer
    x = 10,692.99

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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.