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Finding the Fourth Proportional to 14,219.92, 19,623.84 and 7,932.40

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Solution

The fourth proportional to 14,219.92, 19,623.84 and 7,932.40 is: 10,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,219.92 : 19,623.84 = 7,932.40 : x
  2. Step 2: Convert to fraction form
    14,219.92/19,623.84 = 7,932.40/x
  3. Step 3: Cross multiply
    14,219.92x = 19,623.84 × 7,932.40
  4. Step 4: Simplify right side
    14,219.92x = 155,664,148.42
  5. Step 5: Solve for x
    x = 155,664,148.42/14,219.92
  6. Step 6: Final answer
    x = 10,946.91

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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.