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Finding the Fourth Proportional to 16,577.64, 24,873.30 and 6,714.41

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Solution

The fourth proportional to 16,577.64, 24,873.30 and 6,714.41 is: 10,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.64 : 24,873.30 = 6,714.41 : x
  2. Step 2: Convert to fraction form
    16,577.64/24,873.30 = 6,714.41/x
  3. Step 3: Cross multiply
    16,577.64x = 24,873.30 × 6,714.41
  4. Step 4: Simplify right side
    16,577.64x = 167,009,409.89
  5. Step 5: Solve for x
    x = 167,009,409.89/16,577.64
  6. Step 6: Final answer
    x = 10,074.38

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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.