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Finding the Fourth Proportional to 18,533.41, 25,575.74 and 10,574.35

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Solution

The fourth proportional to 18,533.41, 25,575.74 and 10,574.35 is: 14,592.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.41 : 25,575.74 = 10,574.35 : x
  2. Step 2: Convert to fraction form
    18,533.41/25,575.74 = 10,574.35/x
  3. Step 3: Cross multiply
    18,533.41x = 25,575.74 × 10,574.35
  4. Step 4: Simplify right side
    18,533.41x = 270,446,826.27
  5. Step 5: Solve for x
    x = 270,446,826.27/18,533.41
  6. Step 6: Final answer
    x = 14,592.39

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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.