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Finding the Fourth Proportional to 14,728.40, 20,325.10 and 8,014.05

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Solution

The fourth proportional to 14,728.40, 20,325.10 and 8,014.05 is: 11,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.40 : 20,325.10 = 8,014.05 : x
  2. Step 2: Convert to fraction form
    14,728.40/20,325.10 = 8,014.05/x
  3. Step 3: Cross multiply
    14,728.40x = 20,325.10 × 8,014.05
  4. Step 4: Simplify right side
    14,728.40x = 162,886,362.65
  5. Step 5: Solve for x
    x = 162,886,362.65/14,728.40
  6. Step 6: Final answer
    x = 11,059.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.