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Finding the Fourth Proportional to 20,915.16, 31,361.94 and 7,765.08

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Solution

The fourth proportional to 20,915.16, 31,361.94 and 7,765.08 is: 11,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,915.16 : 31,361.94 = 7,765.08 : x
  2. Step 2: Convert to fraction form
    20,915.16/31,361.94 = 7,765.08/x
  3. Step 3: Cross multiply
    20,915.16x = 31,361.94 × 7,765.08
  4. Step 4: Simplify right side
    20,915.16x = 243,527,973.06
  5. Step 5: Solve for x
    x = 243,527,973.06/20,915.16
  6. Step 6: Final answer
    x = 11,643.61

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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.