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Finding the Fourth Proportional to 12,358.63, 17,054.85 and 6,769.63

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Solution

The fourth proportional to 12,358.63, 17,054.85 and 6,769.63 is: 9,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,358.63 : 17,054.85 = 6,769.63 : x
  2. Step 2: Convert to fraction form
    12,358.63/17,054.85 = 6,769.63/x
  3. Step 3: Cross multiply
    12,358.63x = 17,054.85 × 6,769.63
  4. Step 4: Simplify right side
    12,358.63x = 115,455,024.21
  5. Step 5: Solve for x
    x = 115,455,024.21/12,358.63
  6. Step 6: Final answer
    x = 9,342.06

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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.