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Finding the Fourth Proportional to 24,423.06, 36,632.57 and 7,782.42

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Solution

The fourth proportional to 24,423.06, 36,632.57 and 7,782.42 is: 11,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.06 : 36,632.57 = 7,782.42 : x
  2. Step 2: Convert to fraction form
    24,423.06/36,632.57 = 7,782.42/x
  3. Step 3: Cross multiply
    24,423.06x = 36,632.57 × 7,782.42
  4. Step 4: Simplify right side
    24,423.06x = 285,090,006.51
  5. Step 5: Solve for x
    x = 285,090,006.51/24,423.06
  6. Step 6: Final answer
    x = 11,672.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.