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Finding the Fourth Proportional to 14,470.43, 19,969.68 and 8,502

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Solution

The fourth proportional to 14,470.43, 19,969.68 and 8,502 is: 11,733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.43 : 19,969.68 = 8,502 : x
  2. Step 2: Convert to fraction form
    14,470.43/19,969.68 = 8,502/x
  3. Step 3: Cross multiply
    14,470.43x = 19,969.68 × 8,502
  4. Step 4: Simplify right side
    14,470.43x = 169,782,219.36
  5. Step 5: Solve for x
    x = 169,782,219.36/14,470.43
  6. Step 6: Final answer
    x = 11,733.05

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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.