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Finding the Fourth Proportional to 14,682.47, 20,261.95 and 7,968.15

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Solution

The fourth proportional to 14,682.47, 20,261.95 and 7,968.15 is: 10,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.47 : 20,261.95 = 7,968.15 : x
  2. Step 2: Convert to fraction form
    14,682.47/20,261.95 = 7,968.15/x
  3. Step 3: Cross multiply
    14,682.47x = 20,261.95 × 7,968.15
  4. Step 4: Simplify right side
    14,682.47x = 161,450,281.79
  5. Step 5: Solve for x
    x = 161,450,281.79/14,682.47
  6. Step 6: Final answer
    x = 10,996.13

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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.