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Finding the Fourth Proportional to 21,533.50, 29,709.56 and 12,574.54

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Solution

The fourth proportional to 21,533.50, 29,709.56 and 12,574.54 is: 17,348.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.50 : 29,709.56 = 12,574.54 : x
  2. Step 2: Convert to fraction form
    21,533.50/29,709.56 = 12,574.54/x
  3. Step 3: Cross multiply
    21,533.50x = 29,709.56 × 12,574.54
  4. Step 4: Simplify right side
    21,533.50x = 373,584,062.00
  5. Step 5: Solve for x
    x = 373,584,062.00/21,533.50
  6. Step 6: Final answer
    x = 17,348.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.