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Finding the Fourth Proportional to 14,293.76, 19,725.36 and 8,006

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Solution

The fourth proportional to 14,293.76, 19,725.36 and 8,006 is: 11,048.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.76 : 19,725.36 = 8,006 : x
  2. Step 2: Convert to fraction form
    14,293.76/19,725.36 = 8,006/x
  3. Step 3: Cross multiply
    14,293.76x = 19,725.36 × 8,006
  4. Step 4: Simplify right side
    14,293.76x = 157,921,232.16
  5. Step 5: Solve for x
    x = 157,921,232.16/14,293.76
  6. Step 6: Final answer
    x = 11,048.26

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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.