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Finding the Fourth Proportional to 16,051.84, 24,081.36 and 5,664.40

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Solution

The fourth proportional to 16,051.84, 24,081.36 and 5,664.40 is: 8,497.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051.84 : 24,081.36 = 5,664.40 : x
  2. Step 2: Convert to fraction form
    16,051.84/24,081.36 = 5,664.40/x
  3. Step 3: Cross multiply
    16,051.84x = 24,081.36 × 5,664.40
  4. Step 4: Simplify right side
    16,051.84x = 136,406,455.58
  5. Step 5: Solve for x
    x = 136,406,455.58/16,051.84
  6. Step 6: Final answer
    x = 8,497.87

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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.