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Finding the Fourth Proportional to 23,478.40, 35,230.40 and 9,628.80

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Solution

The fourth proportional to 23,478.40, 35,230.40 and 9,628.80 is: 14,448.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,478.40 : 35,230.40 = 9,628.80 : x
  2. Step 2: Convert to fraction form
    23,478.40/35,230.40 = 9,628.80/x
  3. Step 3: Cross multiply
    23,478.40x = 35,230.40 × 9,628.80
  4. Step 4: Simplify right side
    23,478.40x = 339,226,475.52
  5. Step 5: Solve for x
    x = 339,226,475.52/23,478.40
  6. Step 6: Final answer
    x = 14,448.45

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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.