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Finding the Fourth Proportional to 29,364.60, 40,509.30 and 16,782

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Solution

The fourth proportional to 29,364.60, 40,509.30 and 16,782 is: 23,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,364.60 : 40,509.30 = 16,782 : x
  2. Step 2: Convert to fraction form
    29,364.60/40,509.30 = 16,782/x
  3. Step 3: Cross multiply
    29,364.60x = 40,509.30 × 16,782
  4. Step 4: Simplify right side
    29,364.60x = 679,827,072.60
  5. Step 5: Solve for x
    x = 679,827,072.60/29,364.60
  6. Step 6: Final answer
    x = 23,151.25

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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.