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Finding the Fourth Proportional to 14,376, 19,838.48 and 8,002.64

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Solution

The fourth proportional to 14,376, 19,838.48 and 8,002.64 is: 11,043.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,376 : 19,838.48 = 8,002.64 : x
  2. Step 2: Convert to fraction form
    14,376/19,838.48 = 8,002.64/x
  3. Step 3: Cross multiply
    14,376x = 19,838.48 × 8,002.64
  4. Step 4: Simplify right side
    14,376x = 158,760,213.59
  5. Step 5: Solve for x
    x = 158,760,213.59/14,376
  6. Step 6: Final answer
    x = 11,043.42

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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.