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Finding the Fourth Proportional to 14,706.02, 20,280.47 and 11,343.48

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Solution

The fourth proportional to 14,706.02, 20,280.47 and 11,343.48 is: 15,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,706.02 : 20,280.47 = 11,343.48 : x
  2. Step 2: Convert to fraction form
    14,706.02/20,280.47 = 11,343.48/x
  3. Step 3: Cross multiply
    14,706.02x = 20,280.47 × 11,343.48
  4. Step 4: Simplify right side
    14,706.02x = 230,051,049.12
  5. Step 5: Solve for x
    x = 230,051,049.12/14,706.02
  6. Step 6: Final answer
    x = 15,643.33

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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.