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Finding the Fourth Proportional to 14,401.38, 19,875.48 and 8,736.36

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Solution

The fourth proportional to 14,401.38, 19,875.48 and 8,736.36 is: 12,057.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401.38 : 19,875.48 = 8,736.36 : x
  2. Step 2: Convert to fraction form
    14,401.38/19,875.48 = 8,736.36/x
  3. Step 3: Cross multiply
    14,401.38x = 19,875.48 × 8,736.36
  4. Step 4: Simplify right side
    14,401.38x = 173,639,348.45
  5. Step 5: Solve for x
    x = 173,639,348.45/14,401.38
  6. Step 6: Final answer
    x = 12,057.13

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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.