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Finding the Fourth Proportional to 16,584.48, 24,884.40 and 16,322.40

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Solution

The fourth proportional to 16,584.48, 24,884.40 and 16,322.40 is: 24,491.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,584.48 : 24,884.40 = 16,322.40 : x
  2. Step 2: Convert to fraction form
    16,584.48/24,884.40 = 16,322.40/x
  3. Step 3: Cross multiply
    16,584.48x = 24,884.40 × 16,322.40
  4. Step 4: Simplify right side
    16,584.48x = 406,173,130.56
  5. Step 5: Solve for x
    x = 406,173,130.56/16,584.48
  6. Step 6: Final answer
    x = 24,491.16

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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.