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Finding the Fourth Proportional to 18,322.50, 27,482.37 and 5,842.02

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Solution

The fourth proportional to 18,322.50, 27,482.37 and 5,842.02 is: 8,762.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,322.50 : 27,482.37 = 5,842.02 : x
  2. Step 2: Convert to fraction form
    18,322.50/27,482.37 = 5,842.02/x
  3. Step 3: Cross multiply
    18,322.50x = 27,482.37 × 5,842.02
  4. Step 4: Simplify right side
    18,322.50x = 160,552,555.19
  5. Step 5: Solve for x
    x = 160,552,555.19/18,322.50
  6. Step 6: Final answer
    x = 8,762.59

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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.