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Finding the Fourth Proportional to 23,678.95, 35,514.54 and 9,638.41

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Solution

The fourth proportional to 23,678.95, 35,514.54 and 9,638.41 is: 14,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.95 : 35,514.54 = 9,638.41 : x
  2. Step 2: Convert to fraction form
    23,678.95/35,514.54 = 9,638.41/x
  3. Step 3: Cross multiply
    23,678.95x = 35,514.54 × 9,638.41
  4. Step 4: Simplify right side
    23,678.95x = 342,303,697.48
  5. Step 5: Solve for x
    x = 342,303,697.48/23,678.95
  6. Step 6: Final answer
    x = 14,456.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.