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Finding the Fourth Proportional to 18,533.04, 25,575.88 and 10,149

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Solution

The fourth proportional to 18,533.04, 25,575.88 and 10,149 is: 14,005.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.04 : 25,575.88 = 10,149 : x
  2. Step 2: Convert to fraction form
    18,533.04/25,575.88 = 10,149/x
  3. Step 3: Cross multiply
    18,533.04x = 25,575.88 × 10,149
  4. Step 4: Simplify right side
    18,533.04x = 259,569,606.12
  5. Step 5: Solve for x
    x = 259,569,606.12/18,533.04
  6. Step 6: Final answer
    x = 14,005.78

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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.