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Finding the Fourth Proportional to 14,368.41, 19,828.22 and 8,080.79

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Solution

The fourth proportional to 14,368.41, 19,828.22 and 8,080.79 is: 11,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.41 : 19,828.22 = 8,080.79 : x
  2. Step 2: Convert to fraction form
    14,368.41/19,828.22 = 8,080.79/x
  3. Step 3: Cross multiply
    14,368.41x = 19,828.22 × 8,080.79
  4. Step 4: Simplify right side
    14,368.41x = 160,227,647.01
  5. Step 5: Solve for x
    x = 160,227,647.01/14,368.41
  6. Step 6: Final answer
    x = 11,151.38

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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.