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Finding the Fourth Proportional to 24,059.56, 36,089.34 and 11,737

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Solution

The fourth proportional to 24,059.56, 36,089.34 and 11,737 is: 17,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,059.56 : 36,089.34 = 11,737 : x
  2. Step 2: Convert to fraction form
    24,059.56/36,089.34 = 11,737/x
  3. Step 3: Cross multiply
    24,059.56x = 36,089.34 × 11,737
  4. Step 4: Simplify right side
    24,059.56x = 423,580,583.58
  5. Step 5: Solve for x
    x = 423,580,583.58/24,059.56
  6. Step 6: Final answer
    x = 17,605.50

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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.