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Finding the Fourth Proportional to 16,465.60, 22,714.32 and 14,226.76

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Solution

The fourth proportional to 16,465.60, 22,714.32 and 14,226.76 is: 19,625.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,465.60 : 22,714.32 = 14,226.76 : x
  2. Step 2: Convert to fraction form
    16,465.60/22,714.32 = 14,226.76/x
  3. Step 3: Cross multiply
    16,465.60x = 22,714.32 × 14,226.76
  4. Step 4: Simplify right side
    16,465.60x = 323,151,179.20
  5. Step 5: Solve for x
    x = 323,151,179.20/16,465.60
  6. Step 6: Final answer
    x = 19,625.84

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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.