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Finding the Fourth Proportional to 14,288.30, 21,423.45 and 5,974.10

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Solution

The fourth proportional to 14,288.30, 21,423.45 and 5,974.10 is: 8,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,288.30 : 21,423.45 = 5,974.10 : x
  2. Step 2: Convert to fraction form
    14,288.30/21,423.45 = 5,974.10/x
  3. Step 3: Cross multiply
    14,288.30x = 21,423.45 × 5,974.10
  4. Step 4: Simplify right side
    14,288.30x = 127,985,832.65
  5. Step 5: Solve for x
    x = 127,985,832.65/14,288.30
  6. Step 6: Final answer
    x = 8,957.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.