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Finding the Fourth Proportional to 12,197.34, 16,830.72 and 7,713.18

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Solution

The fourth proportional to 12,197.34, 16,830.72 and 7,713.18 is: 10,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.34 : 16,830.72 = 7,713.18 : x
  2. Step 2: Convert to fraction form
    12,197.34/16,830.72 = 7,713.18/x
  3. Step 3: Cross multiply
    12,197.34x = 16,830.72 × 7,713.18
  4. Step 4: Simplify right side
    12,197.34x = 129,818,372.89
  5. Step 5: Solve for x
    x = 129,818,372.89/12,197.34
  6. Step 6: Final answer
    x = 10,643.17

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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.