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Finding the Fourth Proportional to 13,026.24, 17,976.48 and 7,437.60

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Solution

The fourth proportional to 13,026.24, 17,976.48 and 7,437.60 is: 10,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.24 : 17,976.48 = 7,437.60 : x
  2. Step 2: Convert to fraction form
    13,026.24/17,976.48 = 7,437.60/x
  3. Step 3: Cross multiply
    13,026.24x = 17,976.48 × 7,437.60
  4. Step 4: Simplify right side
    13,026.24x = 133,701,867.65
  5. Step 5: Solve for x
    x = 133,701,867.65/13,026.24
  6. Step 6: Final answer
    x = 10,264.04

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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.