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Finding the Fourth Proportional to 14,742.98, 22,079.09 and 12,969.97

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Solution

The fourth proportional to 14,742.98, 22,079.09 and 12,969.97 is: 19,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742.98 : 22,079.09 = 12,969.97 : x
  2. Step 2: Convert to fraction form
    14,742.98/22,079.09 = 12,969.97/x
  3. Step 3: Cross multiply
    14,742.98x = 22,079.09 × 12,969.97
  4. Step 4: Simplify right side
    14,742.98x = 286,365,134.93
  5. Step 5: Solve for x
    x = 286,365,134.93/14,742.98
  6. Step 6: Final answer
    x = 19,423.83

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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.