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Finding the Fourth Proportional to 21,301.60, 31,984.80 and 16,376.80

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Solution

The fourth proportional to 21,301.60, 31,984.80 and 16,376.80 is: 24,590.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,301.60 : 31,984.80 = 16,376.80 : x
  2. Step 2: Convert to fraction form
    21,301.60/31,984.80 = 16,376.80/x
  3. Step 3: Cross multiply
    21,301.60x = 31,984.80 × 16,376.80
  4. Step 4: Simplify right side
    21,301.60x = 523,808,672.64
  5. Step 5: Solve for x
    x = 523,808,672.64/21,301.60
  6. Step 6: Final answer
    x = 24,590.11

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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.