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Finding the Fourth Proportional to 24,538.03, 36,803.50 and 7,895.90

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Solution

The fourth proportional to 24,538.03, 36,803.50 and 7,895.90 is: 11,842.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.03 : 36,803.50 = 7,895.90 : x
  2. Step 2: Convert to fraction form
    24,538.03/36,803.50 = 7,895.90/x
  3. Step 3: Cross multiply
    24,538.03x = 36,803.50 × 7,895.90
  4. Step 4: Simplify right side
    24,538.03x = 290,596,827.92
  5. Step 5: Solve for x
    x = 290,596,827.92/24,538.03
  6. Step 6: Final answer
    x = 11,842.71

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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.