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Finding the Fourth Proportional to 18,543.28, 27,815.04 and 4,692.28

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Solution

The fourth proportional to 18,543.28, 27,815.04 and 4,692.28 is: 7,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,543.28 : 27,815.04 = 4,692.28 : x
  2. Step 2: Convert to fraction form
    18,543.28/27,815.04 = 4,692.28/x
  3. Step 3: Cross multiply
    18,543.28x = 27,815.04 × 4,692.28
  4. Step 4: Simplify right side
    18,543.28x = 130,515,955.89
  5. Step 5: Solve for x
    x = 130,515,955.89/18,543.28
  6. Step 6: Final answer
    x = 7,038.45

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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.