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Finding the Fourth Proportional to 12,597.30, 17,383.50 and 6,931.84

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Solution

The fourth proportional to 12,597.30, 17,383.50 and 6,931.84 is: 9,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.30 : 17,383.50 = 6,931.84 : x
  2. Step 2: Convert to fraction form
    12,597.30/17,383.50 = 6,931.84/x
  3. Step 3: Cross multiply
    12,597.30x = 17,383.50 × 6,931.84
  4. Step 4: Simplify right side
    12,597.30x = 120,499,640.64
  5. Step 5: Solve for x
    x = 120,499,640.64/12,597.30
  6. Step 6: Final answer
    x = 9,565.51

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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.