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Finding the Fourth Proportional to 13,185.56, 19,771.04 and 10,024.14

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Solution

The fourth proportional to 13,185.56, 19,771.04 and 10,024.14 is: 15,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,185.56 : 19,771.04 = 10,024.14 : x
  2. Step 2: Convert to fraction form
    13,185.56/19,771.04 = 10,024.14/x
  3. Step 3: Cross multiply
    13,185.56x = 19,771.04 × 10,024.14
  4. Step 4: Simplify right side
    13,185.56x = 198,187,672.91
  5. Step 5: Solve for x
    x = 198,187,672.91/13,185.56
  6. Step 6: Final answer
    x = 15,030.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.