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Finding the Fourth Proportional to 14,007.84, 19,333.05 and 8,342.85

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Solution

The fourth proportional to 14,007.84, 19,333.05 and 8,342.85 is: 11,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.84 : 19,333.05 = 8,342.85 : x
  2. Step 2: Convert to fraction form
    14,007.84/19,333.05 = 8,342.85/x
  3. Step 3: Cross multiply
    14,007.84x = 19,333.05 × 8,342.85
  4. Step 4: Simplify right side
    14,007.84x = 161,292,736.19
  5. Step 5: Solve for x
    x = 161,292,736.19/14,007.84
  6. Step 6: Final answer
    x = 11,514.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.