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Finding the Fourth Proportional to 24,321, 33,562.98 and 13,143

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Solution

The fourth proportional to 24,321, 33,562.98 and 13,143 is: 18,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,321 : 33,562.98 = 13,143 : x
  2. Step 2: Convert to fraction form
    24,321/33,562.98 = 13,143/x
  3. Step 3: Cross multiply
    24,321x = 33,562.98 × 13,143
  4. Step 4: Simplify right side
    24,321x = 441,118,246.14
  5. Step 5: Solve for x
    x = 441,118,246.14/24,321
  6. Step 6: Final answer
    x = 18,137.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.