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Finding the Fourth Proportional to 14,208.98, 21,313.49 and 6,309.64

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Solution

The fourth proportional to 14,208.98, 21,313.49 and 6,309.64 is: 9,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,208.98 : 21,313.49 = 6,309.64 : x
  2. Step 2: Convert to fraction form
    14,208.98/21,313.49 = 6,309.64/x
  3. Step 3: Cross multiply
    14,208.98x = 21,313.49 × 6,309.64
  4. Step 4: Simplify right side
    14,208.98x = 134,480,417.50
  5. Step 5: Solve for x
    x = 134,480,417.50/14,208.98
  6. Step 6: Final answer
    x = 9,464.47

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Why These Related Problems?

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