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Finding the Fourth Proportional to 14,731.38, 20,329.36 and 8,017.02

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Solution

The fourth proportional to 14,731.38, 20,329.36 and 8,017.02 is: 11,063.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,731.38 : 20,329.36 = 8,017.02 : x
  2. Step 2: Convert to fraction form
    14,731.38/20,329.36 = 8,017.02/x
  3. Step 3: Cross multiply
    14,731.38x = 20,329.36 × 8,017.02
  4. Step 4: Simplify right side
    14,731.38x = 162,980,885.71
  5. Step 5: Solve for x
    x = 162,980,885.71/14,731.38
  6. Step 6: Final answer
    x = 11,063.52

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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.