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Finding the Fourth Proportional to 13,997.46, 19,316.58 and 7,709.88

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Solution

The fourth proportional to 13,997.46, 19,316.58 and 7,709.88 is: 10,639.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.46 : 19,316.58 = 7,709.88 : x
  2. Step 2: Convert to fraction form
    13,997.46/19,316.58 = 7,709.88/x
  3. Step 3: Cross multiply
    13,997.46x = 19,316.58 × 7,709.88
  4. Step 4: Simplify right side
    13,997.46x = 148,928,513.81
  5. Step 5: Solve for x
    x = 148,928,513.81/13,997.46
  6. Step 6: Final answer
    x = 10,639.68

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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.