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Finding the Fourth Proportional to 23,687.58, 35,518.28 and 9,644

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Solution

The fourth proportional to 23,687.58, 35,518.28 and 9,644 is: 14,460.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687.58 : 35,518.28 = 9,644 : x
  2. Step 2: Convert to fraction form
    23,687.58/35,518.28 = 9,644/x
  3. Step 3: Cross multiply
    23,687.58x = 35,518.28 × 9,644
  4. Step 4: Simplify right side
    23,687.58x = 342,538,292.32
  5. Step 5: Solve for x
    x = 342,538,292.32/23,687.58
  6. Step 6: Final answer
    x = 14,460.67

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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.