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Finding the Fourth Proportional to 14,286.92, 21,328.08 and 12,419.08

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Solution

The fourth proportional to 14,286.92, 21,328.08 and 12,419.08 is: 18,539.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.92 : 21,328.08 = 12,419.08 : x
  2. Step 2: Convert to fraction form
    14,286.92/21,328.08 = 12,419.08/x
  3. Step 3: Cross multiply
    14,286.92x = 21,328.08 × 12,419.08
  4. Step 4: Simplify right side
    14,286.92x = 264,875,131.77
  5. Step 5: Solve for x
    x = 264,875,131.77/14,286.92
  6. Step 6: Final answer
    x = 18,539.69

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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.