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Finding the Fourth Proportional to 19,494.09, 29,220.03 and 12,741.84

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Solution

The fourth proportional to 19,494.09, 29,220.03 and 12,741.84 is: 19,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,494.09 : 29,220.03 = 12,741.84 : x
  2. Step 2: Convert to fraction form
    19,494.09/29,220.03 = 12,741.84/x
  3. Step 3: Cross multiply
    19,494.09x = 29,220.03 × 12,741.84
  4. Step 4: Simplify right side
    19,494.09x = 372,316,867.50
  5. Step 5: Solve for x
    x = 372,316,867.50/19,494.09
  6. Step 6: Final answer
    x = 19,098.96

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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.