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Finding the Fourth Proportional to 16,409.84, 24,618.64 and 5,316.51

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Solution

The fourth proportional to 16,409.84, 24,618.64 and 5,316.51 is: 7,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.84 : 24,618.64 = 5,316.51 : x
  2. Step 2: Convert to fraction form
    16,409.84/24,618.64 = 5,316.51/x
  3. Step 3: Cross multiply
    16,409.84x = 24,618.64 × 5,316.51
  4. Step 4: Simplify right side
    16,409.84x = 130,885,245.75
  5. Step 5: Solve for x
    x = 130,885,245.75/16,409.84
  6. Step 6: Final answer
    x = 7,976.02

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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.