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Finding the Fourth Proportional to 14,182.72, 19,573.20 and 8,216.32

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Solution

The fourth proportional to 14,182.72, 19,573.20 and 8,216.32 is: 11,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,182.72 : 19,573.20 = 8,216.32 : x
  2. Step 2: Convert to fraction form
    14,182.72/19,573.20 = 8,216.32/x
  3. Step 3: Cross multiply
    14,182.72x = 19,573.20 × 8,216.32
  4. Step 4: Simplify right side
    14,182.72x = 160,819,674.62
  5. Step 5: Solve for x
    x = 160,819,674.62/14,182.72
  6. Step 6: Final answer
    x = 11,339.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.