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Finding the Fourth Proportional to 13,472.12, 18,592.54 and 7,808.40

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Solution

The fourth proportional to 13,472.12, 18,592.54 and 7,808.40 is: 10,776.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,472.12 : 18,592.54 = 7,808.40 : x
  2. Step 2: Convert to fraction form
    13,472.12/18,592.54 = 7,808.40/x
  3. Step 3: Cross multiply
    13,472.12x = 18,592.54 × 7,808.40
  4. Step 4: Simplify right side
    13,472.12x = 145,177,969.82
  5. Step 5: Solve for x
    x = 145,177,969.82/13,472.12
  6. Step 6: Final answer
    x = 10,776.18

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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.