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Finding the Fourth Proportional to 14,696.53, 20,287.03 and 10,222.88

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Solution

The fourth proportional to 14,696.53, 20,287.03 and 10,222.88 is: 14,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.53 : 20,287.03 = 10,222.88 : x
  2. Step 2: Convert to fraction form
    14,696.53/20,287.03 = 10,222.88/x
  3. Step 3: Cross multiply
    14,696.53x = 20,287.03 × 10,222.88
  4. Step 4: Simplify right side
    14,696.53x = 207,391,784.29
  5. Step 5: Solve for x
    x = 207,391,784.29/14,696.53
  6. Step 6: Final answer
    x = 14,111.62

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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.