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Finding the Fourth Proportional to 12,300.84, 18,451.26 and 9,824.09

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Solution

The fourth proportional to 12,300.84, 18,451.26 and 9,824.09 is: 14,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,300.84 : 18,451.26 = 9,824.09 : x
  2. Step 2: Convert to fraction form
    12,300.84/18,451.26 = 9,824.09/x
  3. Step 3: Cross multiply
    12,300.84x = 18,451.26 × 9,824.09
  4. Step 4: Simplify right side
    12,300.84x = 181,266,746.60
  5. Step 5: Solve for x
    x = 181,266,746.60/12,300.84
  6. Step 6: Final answer
    x = 14,736.13

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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.