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Finding the Fourth Proportional to 12,210.80, 16,820.76 and 10,412.42

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Solution

The fourth proportional to 12,210.80, 16,820.76 and 10,412.42 is: 14,343.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,210.80 : 16,820.76 = 10,412.42 : x
  2. Step 2: Convert to fraction form
    12,210.80/16,820.76 = 10,412.42/x
  3. Step 3: Cross multiply
    12,210.80x = 16,820.76 × 10,412.42
  4. Step 4: Simplify right side
    12,210.80x = 175,144,859.89
  5. Step 5: Solve for x
    x = 175,144,859.89/12,210.80
  6. Step 6: Final answer
    x = 14,343.44

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