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Finding the Fourth Proportional to 14,181.81, 19,570.16 and 7,808.96

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Solution

The fourth proportional to 14,181.81, 19,570.16 and 7,808.96 is: 10,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.81 : 19,570.16 = 7,808.96 : x
  2. Step 2: Convert to fraction form
    14,181.81/19,570.16 = 7,808.96/x
  3. Step 3: Cross multiply
    14,181.81x = 19,570.16 × 7,808.96
  4. Step 4: Simplify right side
    14,181.81x = 152,822,511.07
  5. Step 5: Solve for x
    x = 152,822,511.07/14,181.81
  6. Step 6: Final answer
    x = 10,775.95

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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.