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Finding the Fourth Proportional to 16,382.40, 24,573.60 and 11,457.60

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Solution

The fourth proportional to 16,382.40, 24,573.60 and 11,457.60 is: 17,186.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.40 : 24,573.60 = 11,457.60 : x
  2. Step 2: Convert to fraction form
    16,382.40/24,573.60 = 11,457.60/x
  3. Step 3: Cross multiply
    16,382.40x = 24,573.60 × 11,457.60
  4. Step 4: Simplify right side
    16,382.40x = 281,554,479.36
  5. Step 5: Solve for x
    x = 281,554,479.36/16,382.40
  6. Step 6: Final answer
    x = 17,186.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.