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Finding the Fourth Proportional to 21,410.19, 32,120.16 and 11,549.25

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Solution

The fourth proportional to 21,410.19, 32,120.16 and 11,549.25 is: 17,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410.19 : 32,120.16 = 11,549.25 : x
  2. Step 2: Convert to fraction form
    21,410.19/32,120.16 = 11,549.25/x
  3. Step 3: Cross multiply
    21,410.19x = 32,120.16 × 11,549.25
  4. Step 4: Simplify right side
    21,410.19x = 370,963,757.88
  5. Step 5: Solve for x
    x = 370,963,757.88/21,410.19
  6. Step 6: Final answer
    x = 17,326.50

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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.