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Finding the Fourth Proportional to 18,400.32, 27,582.48 and 7,303.32

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Solution

The fourth proportional to 18,400.32, 27,582.48 and 7,303.32 is: 10,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400.32 : 27,582.48 = 7,303.32 : x
  2. Step 2: Convert to fraction form
    18,400.32/27,582.48 = 7,303.32/x
  3. Step 3: Cross multiply
    18,400.32x = 27,582.48 × 7,303.32
  4. Step 4: Simplify right side
    18,400.32x = 201,443,677.83
  5. Step 5: Solve for x
    x = 201,443,677.83/18,400.32
  6. Step 6: Final answer
    x = 10,947.84

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Why These Related Problems?

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