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Finding the Fourth Proportional to 24,446.16, 36,639 and 13,924.98

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Solution

The fourth proportional to 24,446.16, 36,639 and 13,924.98 is: 20,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,446.16 : 36,639 = 13,924.98 : x
  2. Step 2: Convert to fraction form
    24,446.16/36,639 = 13,924.98/x
  3. Step 3: Cross multiply
    24,446.16x = 36,639 × 13,924.98
  4. Step 4: Simplify right side
    24,446.16x = 510,197,342.22
  5. Step 5: Solve for x
    x = 510,197,342.22/24,446.16
  6. Step 6: Final answer
    x = 20,870.24

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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.