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Finding the Fourth Proportional to 14,653.84, 20,190.76 and 9,929.84

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Solution

The fourth proportional to 14,653.84, 20,190.76 and 9,929.84 is: 13,681.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,653.84 : 20,190.76 = 9,929.84 : x
  2. Step 2: Convert to fraction form
    14,653.84/20,190.76 = 9,929.84/x
  3. Step 3: Cross multiply
    14,653.84x = 20,190.76 × 9,929.84
  4. Step 4: Simplify right side
    14,653.84x = 200,491,016.28
  5. Step 5: Solve for x
    x = 200,491,016.28/14,653.84
  6. Step 6: Final answer
    x = 13,681.81

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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.