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Finding the Fourth Proportional to 14,122.98, 21,187.88 and 4,261.65

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Solution

The fourth proportional to 14,122.98, 21,187.88 and 4,261.65 is: 6,393.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.98 : 21,187.88 = 4,261.65 : x
  2. Step 2: Convert to fraction form
    14,122.98/21,187.88 = 4,261.65/x
  3. Step 3: Cross multiply
    14,122.98x = 21,187.88 × 4,261.65
  4. Step 4: Simplify right side
    14,122.98x = 90,295,307.49
  5. Step 5: Solve for x
    x = 90,295,307.49/14,122.98
  6. Step 6: Final answer
    x = 6,393.50

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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.