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Finding the Fourth Proportional to 29,189.25, 40,281.21 and 16,614

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Solution

The fourth proportional to 29,189.25, 40,281.21 and 16,614 is: 22,927.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,189.25 : 40,281.21 = 16,614 : x
  2. Step 2: Convert to fraction form
    29,189.25/40,281.21 = 16,614/x
  3. Step 3: Cross multiply
    29,189.25x = 40,281.21 × 16,614
  4. Step 4: Simplify right side
    29,189.25x = 669,232,022.94
  5. Step 5: Solve for x
    x = 669,232,022.94/29,189.25
  6. Step 6: Final answer
    x = 22,927.35

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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.