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Finding the Fourth Proportional to 23,093.36, 34,653 and 9,243.44

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Solution

The fourth proportional to 23,093.36, 34,653 and 9,243.44 is: 13,870.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,093.36 : 34,653 = 9,243.44 : x
  2. Step 2: Convert to fraction form
    23,093.36/34,653 = 9,243.44/x
  3. Step 3: Cross multiply
    23,093.36x = 34,653 × 9,243.44
  4. Step 4: Simplify right side
    23,093.36x = 320,312,926.32
  5. Step 5: Solve for x
    x = 320,312,926.32/23,093.36
  6. Step 6: Final answer
    x = 13,870.35

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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.