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Finding the Fourth Proportional to 16,384.40, 24,576.60 and 11,459.60

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Solution

The fourth proportional to 16,384.40, 24,576.60 and 11,459.60 is: 17,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.40 : 24,576.60 = 11,459.60 : x
  2. Step 2: Convert to fraction form
    16,384.40/24,576.60 = 11,459.60/x
  3. Step 3: Cross multiply
    16,384.40x = 24,576.60 × 11,459.60
  4. Step 4: Simplify right side
    16,384.40x = 281,638,005.36
  5. Step 5: Solve for x
    x = 281,638,005.36/16,384.40
  6. Step 6: Final answer
    x = 17,189.40

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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.