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Finding the Fourth Proportional to 14,271.70, 19,697.01 and 8,306.66

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Solution

The fourth proportional to 14,271.70, 19,697.01 and 8,306.66 is: 11,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.70 : 19,697.01 = 8,306.66 : x
  2. Step 2: Convert to fraction form
    14,271.70/19,697.01 = 8,306.66/x
  3. Step 3: Cross multiply
    14,271.70x = 19,697.01 × 8,306.66
  4. Step 4: Simplify right side
    14,271.70x = 163,616,365.09
  5. Step 5: Solve for x
    x = 163,616,365.09/14,271.70
  6. Step 6: Final answer
    x = 11,464.39

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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.