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Finding the Fourth Proportional to 14,453.73, 19,945.71 and 8,166.51

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Solution

The fourth proportional to 14,453.73, 19,945.71 and 8,166.51 is: 11,269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453.73 : 19,945.71 = 8,166.51 : x
  2. Step 2: Convert to fraction form
    14,453.73/19,945.71 = 8,166.51/x
  3. Step 3: Cross multiply
    14,453.73x = 19,945.71 × 8,166.51
  4. Step 4: Simplify right side
    14,453.73x = 162,886,840.17
  5. Step 5: Solve for x
    x = 162,886,840.17/14,453.73
  6. Step 6: Final answer
    x = 11,269.54

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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.