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Finding the Fourth Proportional to 19,506.81, 29,246.96 and 7,653.15

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Solution

The fourth proportional to 19,506.81, 29,246.96 and 7,653.15 is: 11,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,506.81 : 29,246.96 = 7,653.15 : x
  2. Step 2: Convert to fraction form
    19,506.81/29,246.96 = 7,653.15/x
  3. Step 3: Cross multiply
    19,506.81x = 29,246.96 × 7,653.15
  4. Step 4: Simplify right side
    19,506.81x = 223,831,333.66
  5. Step 5: Solve for x
    x = 223,831,333.66/19,506.81
  6. Step 6: Final answer
    x = 11,474.52

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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.