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Finding the Fourth Proportional to 23,518.80, 35,277.76 and 9,478.45

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Solution

The fourth proportional to 23,518.80, 35,277.76 and 9,478.45 is: 14,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,518.80 : 35,277.76 = 9,478.45 : x
  2. Step 2: Convert to fraction form
    23,518.80/35,277.76 = 9,478.45/x
  3. Step 3: Cross multiply
    23,518.80x = 35,277.76 × 9,478.45
  4. Step 4: Simplify right side
    23,518.80x = 334,378,540.22
  5. Step 5: Solve for x
    x = 334,378,540.22/23,518.80
  6. Step 6: Final answer
    x = 14,217.50

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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.