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Finding the Fourth Proportional to 14,495.44, 21,739.92 and 6,700

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Solution

The fourth proportional to 14,495.44, 21,739.92 and 6,700 is: 10,048.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,495.44 : 21,739.92 = 6,700 : x
  2. Step 2: Convert to fraction form
    14,495.44/21,739.92 = 6,700/x
  3. Step 3: Cross multiply
    14,495.44x = 21,739.92 × 6,700
  4. Step 4: Simplify right side
    14,495.44x = 145,657,464
  5. Step 5: Solve for x
    x = 145,657,464/14,495.44
  6. Step 6: Final answer
    x = 10,048.50

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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.