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Finding the Fourth Proportional to 12,024, 18,036.27 and 4,126.50

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Solution

The fourth proportional to 12,024, 18,036.27 and 4,126.50 is: 6,189.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024 : 18,036.27 = 4,126.50 : x
  2. Step 2: Convert to fraction form
    12,024/18,036.27 = 4,126.50/x
  3. Step 3: Cross multiply
    12,024x = 18,036.27 × 4,126.50
  4. Step 4: Simplify right side
    12,024x = 74,426,668.16
  5. Step 5: Solve for x
    x = 74,426,668.16/12,024
  6. Step 6: Final answer
    x = 6,189.84

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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.