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Finding the Fourth Proportional to 19,473, 26,872.74 and 10,641

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Solution

The fourth proportional to 19,473, 26,872.74 and 10,641 is: 14,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,473 : 26,872.74 = 10,641 : x
  2. Step 2: Convert to fraction form
    19,473/26,872.74 = 10,641/x
  3. Step 3: Cross multiply
    19,473x = 26,872.74 × 10,641
  4. Step 4: Simplify right side
    19,473x = 285,952,826.34
  5. Step 5: Solve for x
    x = 285,952,826.34/19,473
  6. Step 6: Final answer
    x = 14,684.58

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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.