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Finding the Fourth Proportional to 24,369.84, 36,559.80 and 12,679.92

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Solution

The fourth proportional to 24,369.84, 36,559.80 and 12,679.92 is: 19,022.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,369.84 : 36,559.80 = 12,679.92 : x
  2. Step 2: Convert to fraction form
    24,369.84/36,559.80 = 12,679.92/x
  3. Step 3: Cross multiply
    24,369.84x = 36,559.80 × 12,679.92
  4. Step 4: Simplify right side
    24,369.84x = 463,575,339.22
  5. Step 5: Solve for x
    x = 463,575,339.22/24,369.84
  6. Step 6: Final answer
    x = 19,022.50

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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.