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Finding the Fourth Proportional to 12,701.56, 19,047.88 and 3,814.24

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Solution

The fourth proportional to 12,701.56, 19,047.88 and 3,814.24 is: 5,720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.56 : 19,047.88 = 3,814.24 : x
  2. Step 2: Convert to fraction form
    12,701.56/19,047.88 = 3,814.24/x
  3. Step 3: Cross multiply
    12,701.56x = 19,047.88 × 3,814.24
  4. Step 4: Simplify right side
    12,701.56x = 72,653,185.81
  5. Step 5: Solve for x
    x = 72,653,185.81/12,701.56
  6. Step 6: Final answer
    x = 5,720.02

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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.