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Finding the Fourth Proportional to 14,042.88, 19,378.38 and 8,384.02

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Solution

The fourth proportional to 14,042.88, 19,378.38 and 8,384.02 is: 11,569.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,042.88 : 19,378.38 = 8,384.02 : x
  2. Step 2: Convert to fraction form
    14,042.88/19,378.38 = 8,384.02/x
  3. Step 3: Cross multiply
    14,042.88x = 19,378.38 × 8,384.02
  4. Step 4: Simplify right side
    14,042.88x = 162,468,725.49
  5. Step 5: Solve for x
    x = 162,468,725.49/14,042.88
  6. Step 6: Final answer
    x = 11,569.47

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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.