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Finding the Fourth Proportional to 12,596.85, 17,383.14 and 6,931.58

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Solution

The fourth proportional to 12,596.85, 17,383.14 and 6,931.58 is: 9,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596.85 : 17,383.14 = 6,931.58 : x
  2. Step 2: Convert to fraction form
    12,596.85/17,383.14 = 6,931.58/x
  3. Step 3: Cross multiply
    12,596.85x = 17,383.14 × 6,931.58
  4. Step 4: Simplify right side
    12,596.85x = 120,492,538.65
  5. Step 5: Solve for x
    x = 120,492,538.65/12,596.85
  6. Step 6: Final answer
    x = 9,565.29

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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.