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Finding the Fourth Proportional to 12,019.23, 16,592.99 and 8,047.13

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Solution

The fourth proportional to 12,019.23, 16,592.99 and 8,047.13 is: 11,109.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.23 : 16,592.99 = 8,047.13 : x
  2. Step 2: Convert to fraction form
    12,019.23/16,592.99 = 8,047.13/x
  3. Step 3: Cross multiply
    12,019.23x = 16,592.99 × 8,047.13
  4. Step 4: Simplify right side
    12,019.23x = 133,525,824.42
  5. Step 5: Solve for x
    x = 133,525,824.42/12,019.23
  6. Step 6: Final answer
    x = 11,109.35

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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.