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Finding the Fourth Proportional to 24,376.90, 36,569.22 and 9,383.50

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Solution

The fourth proportional to 24,376.90, 36,569.22 and 9,383.50 is: 14,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.90 : 36,569.22 = 9,383.50 : x
  2. Step 2: Convert to fraction form
    24,376.90/36,569.22 = 9,383.50/x
  3. Step 3: Cross multiply
    24,376.90x = 36,569.22 × 9,383.50
  4. Step 4: Simplify right side
    24,376.90x = 343,147,275.87
  5. Step 5: Solve for x
    x = 343,147,275.87/24,376.90
  6. Step 6: Final answer
    x = 14,076.74

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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.