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Finding the Fourth Proportional to 24,858.56, 37,276.86 and 13,169

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Solution

The fourth proportional to 24,858.56, 37,276.86 and 13,169 is: 19,747.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,858.56 : 37,276.86 = 13,169 : x
  2. Step 2: Convert to fraction form
    24,858.56/37,276.86 = 13,169/x
  3. Step 3: Cross multiply
    24,858.56x = 37,276.86 × 13,169
  4. Step 4: Simplify right side
    24,858.56x = 490,898,969.34
  5. Step 5: Solve for x
    x = 490,898,969.34/24,858.56
  6. Step 6: Final answer
    x = 19,747.68

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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.