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Finding the Fourth Proportional to 24,376.50, 36,564.95 and 5,908.50

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Solution

The fourth proportional to 24,376.50, 36,564.95 and 5,908.50 is: 8,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.50 : 36,564.95 = 5,908.50 : x
  2. Step 2: Convert to fraction form
    24,376.50/36,564.95 = 5,908.50/x
  3. Step 3: Cross multiply
    24,376.50x = 36,564.95 × 5,908.50
  4. Step 4: Simplify right side
    24,376.50x = 216,044,007.08
  5. Step 5: Solve for x
    x = 216,044,007.08/24,376.50
  6. Step 6: Final answer
    x = 8,862.80

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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.