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Finding the Fourth Proportional to 14,352.96, 21,516.48 and 8,184

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Solution

The fourth proportional to 14,352.96, 21,516.48 and 8,184 is: 12,268.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,352.96 : 21,516.48 = 8,184 : x
  2. Step 2: Convert to fraction form
    14,352.96/21,516.48 = 8,184/x
  3. Step 3: Cross multiply
    14,352.96x = 21,516.48 × 8,184
  4. Step 4: Simplify right side
    14,352.96x = 176,090,872.32
  5. Step 5: Solve for x
    x = 176,090,872.32/14,352.96
  6. Step 6: Final answer
    x = 12,268.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.