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Finding the Fourth Proportional to 18,533.32, 25,574.05 and 10,574

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Solution

The fourth proportional to 18,533.32, 25,574.05 and 10,574 is: 14,591.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533.32 : 25,574.05 = 10,574 : x
  2. Step 2: Convert to fraction form
    18,533.32/25,574.05 = 10,574/x
  3. Step 3: Cross multiply
    18,533.32x = 25,574.05 × 10,574
  4. Step 4: Simplify right side
    18,533.32x = 270,420,004.70
  5. Step 5: Solve for x
    x = 270,420,004.70/18,533.32
  6. Step 6: Final answer
    x = 14,591.02

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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.