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Finding the Fourth Proportional to 12,573.67, 17,351.66 and 6,908.58

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Solution

The fourth proportional to 12,573.67, 17,351.66 and 6,908.58 is: 9,533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.67 : 17,351.66 = 6,908.58 : x
  2. Step 2: Convert to fraction form
    12,573.67/17,351.66 = 6,908.58/x
  3. Step 3: Cross multiply
    12,573.67x = 17,351.66 × 6,908.58
  4. Step 4: Simplify right side
    12,573.67x = 119,875,331.24
  5. Step 5: Solve for x
    x = 119,875,331.24/12,573.67
  6. Step 6: Final answer
    x = 9,533.84

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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.