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Finding the Fourth Proportional to 21,412.20, 29,549.70 and 11,980.20

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Solution

The fourth proportional to 21,412.20, 29,549.70 and 11,980.20 is: 16,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,412.20 : 29,549.70 = 11,980.20 : x
  2. Step 2: Convert to fraction form
    21,412.20/29,549.70 = 11,980.20/x
  3. Step 3: Cross multiply
    21,412.20x = 29,549.70 × 11,980.20
  4. Step 4: Simplify right side
    21,412.20x = 354,011,315.94
  5. Step 5: Solve for x
    x = 354,011,315.94/21,412.20
  6. Step 6: Final answer
    x = 16,533.16

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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.