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Finding the Fourth Proportional to 14,295.09, 19,731.20 and 10,047.09

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Solution

The fourth proportional to 14,295.09, 19,731.20 and 10,047.09 is: 13,867.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,295.09 : 19,731.20 = 10,047.09 : x
  2. Step 2: Convert to fraction form
    14,295.09/19,731.20 = 10,047.09/x
  3. Step 3: Cross multiply
    14,295.09x = 19,731.20 × 10,047.09
  4. Step 4: Simplify right side
    14,295.09x = 198,241,091.97
  5. Step 5: Solve for x
    x = 198,241,091.97/14,295.09
  6. Step 6: Final answer
    x = 13,867.78

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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.