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Finding the Fourth Proportional to 18,583.22, 27,871.47 and 7,489.46

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Solution

The fourth proportional to 18,583.22, 27,871.47 and 7,489.46 is: 11,232.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,583.22 : 27,871.47 = 7,489.46 : x
  2. Step 2: Convert to fraction form
    18,583.22/27,871.47 = 7,489.46/x
  3. Step 3: Cross multiply
    18,583.22x = 27,871.47 × 7,489.46
  4. Step 4: Simplify right side
    18,583.22x = 208,742,259.71
  5. Step 5: Solve for x
    x = 208,742,259.71/18,583.22
  6. Step 6: Final answer
    x = 11,232.84

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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.