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Finding the Fourth Proportional to 14,356.71, 19,812.24 and 8,069.09

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Solution

The fourth proportional to 14,356.71, 19,812.24 and 8,069.09 is: 11,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.71 : 19,812.24 = 8,069.09 : x
  2. Step 2: Convert to fraction form
    14,356.71/19,812.24 = 8,069.09/x
  3. Step 3: Cross multiply
    14,356.71x = 19,812.24 × 8,069.09
  4. Step 4: Simplify right side
    14,356.71x = 159,866,648.60
  5. Step 5: Solve for x
    x = 159,866,648.60/14,356.71
  6. Step 6: Final answer
    x = 11,135.33

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1.5x scale

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.