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Finding the Fourth Proportional to 12,965.64, 17,895.52 and 9,184.84

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Solution

The fourth proportional to 12,965.64, 17,895.52 and 9,184.84 is: 12,677.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,965.64 : 17,895.52 = 9,184.84 : x
  2. Step 2: Convert to fraction form
    12,965.64/17,895.52 = 9,184.84/x
  3. Step 3: Cross multiply
    12,965.64x = 17,895.52 × 9,184.84
  4. Step 4: Simplify right side
    12,965.64x = 164,367,487.92
  5. Step 5: Solve for x
    x = 164,367,487.92/12,965.64
  6. Step 6: Final answer
    x = 12,677.16

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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.