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Finding the Fourth Proportional to 24,071.78, 36,094.26 and 7,427.09

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Solution

The fourth proportional to 24,071.78, 36,094.26 and 7,427.09 is: 11,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,071.78 : 36,094.26 = 7,427.09 : x
  2. Step 2: Convert to fraction form
    24,071.78/36,094.26 = 7,427.09/x
  3. Step 3: Cross multiply
    24,071.78x = 36,094.26 × 7,427.09
  4. Step 4: Simplify right side
    24,071.78x = 268,075,317.50
  5. Step 5: Solve for x
    x = 268,075,317.50/24,071.78
  6. Step 6: Final answer
    x = 11,136.50

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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.