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Finding the Fourth Proportional to 14,410.94, 21,473.16 and 12,838.87

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Solution

The fourth proportional to 14,410.94, 21,473.16 and 12,838.87 is: 19,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,410.94 : 21,473.16 = 12,838.87 : x
  2. Step 2: Convert to fraction form
    14,410.94/21,473.16 = 12,838.87/x
  3. Step 3: Cross multiply
    14,410.94x = 21,473.16 × 12,838.87
  4. Step 4: Simplify right side
    14,410.94x = 275,691,056.05
  5. Step 5: Solve for x
    x = 275,691,056.05/14,410.94
  6. Step 6: Final answer
    x = 19,130.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.