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Finding the Fourth Proportional to 16,577.01, 24,872.94 and 8,784

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Solution

The fourth proportional to 16,577.01, 24,872.94 and 8,784 is: 13,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.01 : 24,872.94 = 8,784 : x
  2. Step 2: Convert to fraction form
    16,577.01/24,872.94 = 8,784/x
  3. Step 3: Cross multiply
    16,577.01x = 24,872.94 × 8,784
  4. Step 4: Simplify right side
    16,577.01x = 218,483,904.96
  5. Step 5: Solve for x
    x = 218,483,904.96/16,577.01
  6. Step 6: Final answer
    x = 13,179.93

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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.