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Finding the Fourth Proportional to 16,852.60, 25,278.90 and 13,742.20

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Solution

The fourth proportional to 16,852.60, 25,278.90 and 13,742.20 is: 20,613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852.60 : 25,278.90 = 13,742.20 : x
  2. Step 2: Convert to fraction form
    16,852.60/25,278.90 = 13,742.20/x
  3. Step 3: Cross multiply
    16,852.60x = 25,278.90 × 13,742.20
  4. Step 4: Simplify right side
    16,852.60x = 347,387,699.58
  5. Step 5: Solve for x
    x = 347,387,699.58/16,852.60
  6. Step 6: Final answer
    x = 20,613.30

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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.