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Finding the Fourth Proportional to 18,010.50, 27,020.08 and 5,698.50

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Solution

The fourth proportional to 18,010.50, 27,020.08 and 5,698.50 is: 8,549.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,010.50 : 27,020.08 = 5,698.50 : x
  2. Step 2: Convert to fraction form
    18,010.50/27,020.08 = 5,698.50/x
  3. Step 3: Cross multiply
    18,010.50x = 27,020.08 × 5,698.50
  4. Step 4: Simplify right side
    18,010.50x = 153,973,925.88
  5. Step 5: Solve for x
    x = 153,973,925.88/18,010.50
  6. Step 6: Final answer
    x = 8,549.12

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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.