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Finding the Fourth Proportional to 24,549.84, 36,804.76 and 11,410.48

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Solution

The fourth proportional to 24,549.84, 36,804.76 and 11,410.48 is: 17,106.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,549.84 : 36,804.76 = 11,410.48 : x
  2. Step 2: Convert to fraction form
    24,549.84/36,804.76 = 11,410.48/x
  3. Step 3: Cross multiply
    24,549.84x = 36,804.76 × 11,410.48
  4. Step 4: Simplify right side
    24,549.84x = 419,959,977.88
  5. Step 5: Solve for x
    x = 419,959,977.88/24,549.84
  6. Step 6: Final answer
    x = 17,106.42

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1.5x scale

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.