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Finding the Fourth Proportional to 26,336.34, 39,509.64 and 9,696.51

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Solution

The fourth proportional to 26,336.34, 39,509.64 and 9,696.51 is: 14,546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,336.34 : 39,509.64 = 9,696.51 : x
  2. Step 2: Convert to fraction form
    26,336.34/39,509.64 = 9,696.51/x
  3. Step 3: Cross multiply
    26,336.34x = 39,509.64 × 9,696.51
  4. Step 4: Simplify right side
    26,336.34x = 383,105,619.36
  5. Step 5: Solve for x
    x = 383,105,619.36/26,336.34
  6. Step 6: Final answer
    x = 14,546.65

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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.