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Finding the Fourth Proportional to 15,338.54, 23,007 and 4,808.45

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Solution

The fourth proportional to 15,338.54, 23,007 and 4,808.45 is: 7,212.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,338.54 : 23,007 = 4,808.45 : x
  2. Step 2: Convert to fraction form
    15,338.54/23,007 = 4,808.45/x
  3. Step 3: Cross multiply
    15,338.54x = 23,007 × 4,808.45
  4. Step 4: Simplify right side
    15,338.54x = 110,628,009.15
  5. Step 5: Solve for x
    x = 110,628,009.15/15,338.54
  6. Step 6: Final answer
    x = 7,212.42

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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.