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Finding the Fourth Proportional to 24,513.50, 33,828.03 and 14,306.49

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Solution

The fourth proportional to 24,513.50, 33,828.03 and 14,306.49 is: 19,742.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513.50 : 33,828.03 = 14,306.49 : x
  2. Step 2: Convert to fraction form
    24,513.50/33,828.03 = 14,306.49/x
  3. Step 3: Cross multiply
    24,513.50x = 33,828.03 × 14,306.49
  4. Step 4: Simplify right side
    24,513.50x = 483,960,372.91
  5. Step 5: Solve for x
    x = 483,960,372.91/24,513.50
  6. Step 6: Final answer
    x = 19,742.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.