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Finding the Fourth Proportional to 15,533.94, 23,281.46 and 12,234

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Solution

The fourth proportional to 15,533.94, 23,281.46 and 12,234 is: 18,335.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,533.94 : 23,281.46 = 12,234 : x
  2. Step 2: Convert to fraction form
    15,533.94/23,281.46 = 12,234/x
  3. Step 3: Cross multiply
    15,533.94x = 23,281.46 × 12,234
  4. Step 4: Simplify right side
    15,533.94x = 284,825,320.47
  5. Step 5: Solve for x
    x = 284,825,320.47/15,533.94
  6. Step 6: Final answer
    x = 18,335.68

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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.