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Finding the Fourth Proportional to 14,866.34, 20,516.09 and 8,152.25

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Solution

The fourth proportional to 14,866.34, 20,516.09 and 8,152.25 is: 11,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.34 : 20,516.09 = 8,152.25 : x
  2. Step 2: Convert to fraction form
    14,866.34/20,516.09 = 8,152.25/x
  3. Step 3: Cross multiply
    14,866.34x = 20,516.09 × 8,152.25
  4. Step 4: Simplify right side
    14,866.34x = 167,252,151.36
  5. Step 5: Solve for x
    x = 167,252,151.36/14,866.34
  6. Step 6: Final answer
    x = 11,250.40

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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.