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Finding the Fourth Proportional to 18,577.24, 27,865.54 and 7,483.65

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Solution

The fourth proportional to 18,577.24, 27,865.54 and 7,483.65 is: 11,225.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.24 : 27,865.54 = 7,483.65 : x
  2. Step 2: Convert to fraction form
    18,577.24/27,865.54 = 7,483.65/x
  3. Step 3: Cross multiply
    18,577.24x = 27,865.54 × 7,483.65
  4. Step 4: Simplify right side
    18,577.24x = 208,535,853.28
  5. Step 5: Solve for x
    x = 208,535,853.28/18,577.24
  6. Step 6: Final answer
    x = 11,225.34

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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.