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Finding the Fourth Proportional to 16,347.60, 24,550.20 and 12,658.80

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Solution

The fourth proportional to 16,347.60, 24,550.20 and 12,658.80 is: 19,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.60 : 24,550.20 = 12,658.80 : x
  2. Step 2: Convert to fraction form
    16,347.60/24,550.20 = 12,658.80/x
  3. Step 3: Cross multiply
    16,347.60x = 24,550.20 × 12,658.80
  4. Step 4: Simplify right side
    16,347.60x = 310,776,071.76
  5. Step 5: Solve for x
    x = 310,776,071.76/16,347.60
  6. Step 6: Final answer
    x = 19,010.50

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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.