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Finding the Fourth Proportional to 19,758.46, 29,643.75 and 7,912.21

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Solution

The fourth proportional to 19,758.46, 29,643.75 and 7,912.21 is: 11,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758.46 : 29,643.75 = 7,912.21 : x
  2. Step 2: Convert to fraction form
    19,758.46/29,643.75 = 7,912.21/x
  3. Step 3: Cross multiply
    19,758.46x = 29,643.75 × 7,912.21
  4. Step 4: Simplify right side
    19,758.46x = 234,547,575.19
  5. Step 5: Solve for x
    x = 234,547,575.19/19,758.46
  6. Step 6: Final answer
    x = 11,870.74

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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.