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Finding the Fourth Proportional to 14,576.24, 20,117.46 and 8,914.34

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Solution

The fourth proportional to 14,576.24, 20,117.46 and 8,914.34 is: 12,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,576.24 : 20,117.46 = 8,914.34 : x
  2. Step 2: Convert to fraction form
    14,576.24/20,117.46 = 8,914.34/x
  3. Step 3: Cross multiply
    14,576.24x = 20,117.46 × 8,914.34
  4. Step 4: Simplify right side
    14,576.24x = 179,333,878.38
  5. Step 5: Solve for x
    x = 179,333,878.38/14,576.24
  6. Step 6: Final answer
    x = 12,303.16

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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.