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Finding the Fourth Proportional to 14,293.56, 19,724.64 and 8,005.92

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Solution

The fourth proportional to 14,293.56, 19,724.64 and 8,005.92 is: 11,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,293.56 : 19,724.64 = 8,005.92 : x
  2. Step 2: Convert to fraction form
    14,293.56/19,724.64 = 8,005.92/x
  3. Step 3: Cross multiply
    14,293.56x = 19,724.64 × 8,005.92
  4. Step 4: Simplify right side
    14,293.56x = 157,913,889.87
  5. Step 5: Solve for x
    x = 157,913,889.87/14,293.56
  6. Step 6: Final answer
    x = 11,047.90

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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.