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Finding the Fourth Proportional to 13,048.64, 18,004 and 7,458.24

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Solution

The fourth proportional to 13,048.64, 18,004 and 7,458.24 is: 10,290.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.64 : 18,004 = 7,458.24 : x
  2. Step 2: Convert to fraction form
    13,048.64/18,004 = 7,458.24/x
  3. Step 3: Cross multiply
    13,048.64x = 18,004 × 7,458.24
  4. Step 4: Simplify right side
    13,048.64x = 134,278,152.96
  5. Step 5: Solve for x
    x = 134,278,152.96/13,048.64
  6. Step 6: Final answer
    x = 10,290.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.