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Finding the Fourth Proportional to 14,392.49, 21,512.79 and 12,503.57

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Solution

The fourth proportional to 14,392.49, 21,512.79 and 12,503.57 is: 18,689.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,392.49 : 21,512.79 = 12,503.57 : x
  2. Step 2: Convert to fraction form
    14,392.49/21,512.79 = 12,503.57/x
  3. Step 3: Cross multiply
    14,392.49x = 21,512.79 × 12,503.57
  4. Step 4: Simplify right side
    14,392.49x = 268,986,568.10
  5. Step 5: Solve for x
    x = 268,986,568.10/14,392.49
  6. Step 6: Final answer
    x = 18,689.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.