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Finding the Fourth Proportional to 25,533.83, 38,300.76 and 8,005.02

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Solution

The fourth proportional to 25,533.83, 38,300.76 and 8,005.02 is: 12,007.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,533.83 : 38,300.76 = 8,005.02 : x
  2. Step 2: Convert to fraction form
    25,533.83/38,300.76 = 8,005.02/x
  3. Step 3: Cross multiply
    25,533.83x = 38,300.76 × 8,005.02
  4. Step 4: Simplify right side
    25,533.83x = 306,598,349.82
  5. Step 5: Solve for x
    x = 306,598,349.82/25,533.83
  6. Step 6: Final answer
    x = 12,007.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.