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Finding the Fourth Proportional to 24,865.44, 37,298.54 and 13,842.19

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Solution

The fourth proportional to 24,865.44, 37,298.54 and 13,842.19 is: 20,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,865.44 : 37,298.54 = 13,842.19 : x
  2. Step 2: Convert to fraction form
    24,865.44/37,298.54 = 13,842.19/x
  3. Step 3: Cross multiply
    24,865.44x = 37,298.54 × 13,842.19
  4. Step 4: Simplify right side
    24,865.44x = 516,293,410.81
  5. Step 5: Solve for x
    x = 516,293,410.81/24,865.44
  6. Step 6: Final answer
    x = 20,763.50

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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.