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Finding the Fourth Proportional to 16,548.60, 22,842.38 and 10,596.30

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Solution

The fourth proportional to 16,548.60, 22,842.38 and 10,596.30 is: 14,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548.60 : 22,842.38 = 10,596.30 : x
  2. Step 2: Convert to fraction form
    16,548.60/22,842.38 = 10,596.30/x
  3. Step 3: Cross multiply
    16,548.60x = 22,842.38 × 10,596.30
  4. Step 4: Simplify right side
    16,548.60x = 242,044,711.19
  5. Step 5: Solve for x
    x = 242,044,711.19/16,548.60
  6. Step 6: Final answer
    x = 14,626.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.