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Finding the Fourth Proportional to 14,719.74, 20,313.36 and 8,005.38

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Solution

The fourth proportional to 14,719.74, 20,313.36 and 8,005.38 is: 11,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,719.74 : 20,313.36 = 8,005.38 : x
  2. Step 2: Convert to fraction form
    14,719.74/20,313.36 = 8,005.38/x
  3. Step 3: Cross multiply
    14,719.74x = 20,313.36 × 8,005.38
  4. Step 4: Simplify right side
    14,719.74x = 162,616,165.88
  5. Step 5: Solve for x
    x = 162,616,165.88/14,719.74
  6. Step 6: Final answer
    x = 11,047.49

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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.