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Finding the Fourth Proportional to 24,522, 33,840.36 and 14,586

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Solution

The fourth proportional to 24,522, 33,840.36 and 14,586 is: 20,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,522 : 33,840.36 = 14,586 : x
  2. Step 2: Convert to fraction form
    24,522/33,840.36 = 14,586/x
  3. Step 3: Cross multiply
    24,522x = 33,840.36 × 14,586
  4. Step 4: Simplify right side
    24,522x = 493,595,490.96
  5. Step 5: Solve for x
    x = 493,595,490.96/24,522
  6. Step 6: Final answer
    x = 20,128.68

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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.