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Finding the Fourth Proportional to 14,185.32, 19,573.95 and 8,216.94

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Solution

The fourth proportional to 14,185.32, 19,573.95 and 8,216.94 is: 11,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,185.32 : 19,573.95 = 8,216.94 : x
  2. Step 2: Convert to fraction form
    14,185.32/19,573.95 = 8,216.94/x
  3. Step 3: Cross multiply
    14,185.32x = 19,573.95 × 8,216.94
  4. Step 4: Simplify right side
    14,185.32x = 160,837,972.71
  5. Step 5: Solve for x
    x = 160,837,972.71/14,185.32
  6. Step 6: Final answer
    x = 11,338.34

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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.