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Finding the Fourth Proportional to 13,716.42, 18,928.74 and 7,748.64

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Solution

The fourth proportional to 13,716.42, 18,928.74 and 7,748.64 is: 10,693.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.42 : 18,928.74 = 7,748.64 : x
  2. Step 2: Convert to fraction form
    13,716.42/18,928.74 = 7,748.64/x
  3. Step 3: Cross multiply
    13,716.42x = 18,928.74 × 7,748.64
  4. Step 4: Simplify right side
    13,716.42x = 146,671,991.91
  5. Step 5: Solve for x
    x = 146,671,991.91/13,716.42
  6. Step 6: Final answer
    x = 10,693.17

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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.