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Finding the Fourth Proportional to 14,184.57, 19,573.86 and 8,215.83

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Solution

The fourth proportional to 14,184.57, 19,573.86 and 8,215.83 is: 11,337.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.57 : 19,573.86 = 8,215.83 : x
  2. Step 2: Convert to fraction form
    14,184.57/19,573.86 = 8,215.83/x
  3. Step 3: Cross multiply
    14,184.57x = 19,573.86 × 8,215.83
  4. Step 4: Simplify right side
    14,184.57x = 160,815,506.20
  5. Step 5: Solve for x
    x = 160,815,506.20/14,184.57
  6. Step 6: Final answer
    x = 11,337.36

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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.