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Finding the Fourth Proportional to 12,206.66, 16,842.98 and 10,526.30

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Solution

The fourth proportional to 12,206.66, 16,842.98 and 10,526.30 is: 14,524.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.66 : 16,842.98 = 10,526.30 : x
  2. Step 2: Convert to fraction form
    12,206.66/16,842.98 = 10,526.30/x
  3. Step 3: Cross multiply
    12,206.66x = 16,842.98 × 10,526.30
  4. Step 4: Simplify right side
    12,206.66x = 177,294,260.37
  5. Step 5: Solve for x
    x = 177,294,260.37/12,206.66
  6. Step 6: Final answer
    x = 14,524.39

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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.