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Finding the Fourth Proportional to 14,378.94, 21,439.41 and 14,116.50

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Solution

The fourth proportional to 14,378.94, 21,439.41 and 14,116.50 is: 21,048.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.94 : 21,439.41 = 14,116.50 : x
  2. Step 2: Convert to fraction form
    14,378.94/21,439.41 = 14,116.50/x
  3. Step 3: Cross multiply
    14,378.94x = 21,439.41 × 14,116.50
  4. Step 4: Simplify right side
    14,378.94x = 302,649,431.27
  5. Step 5: Solve for x
    x = 302,649,431.27/14,378.94
  6. Step 6: Final answer
    x = 21,048.10

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Why These Related Problems?

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