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Finding the Fourth Proportional to 23,048.24, 34,564.67 and 9,004.63

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Solution

The fourth proportional to 23,048.24, 34,564.67 and 9,004.63 is: 13,503.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.24 : 34,564.67 = 9,004.63 : x
  2. Step 2: Convert to fraction form
    23,048.24/34,564.67 = 9,004.63/x
  3. Step 3: Cross multiply
    23,048.24x = 34,564.67 × 9,004.63
  4. Step 4: Simplify right side
    23,048.24x = 311,241,932.99
  5. Step 5: Solve for x
    x = 311,241,932.99/23,048.24
  6. Step 6: Final answer
    x = 13,503.93

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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.