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Finding the Fourth Proportional to 14,983, 22,475.66 and 8,743.64

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Solution

The fourth proportional to 14,983, 22,475.66 and 8,743.64 is: 13,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983 : 22,475.66 = 8,743.64 : x
  2. Step 2: Convert to fraction form
    14,983/22,475.66 = 8,743.64/x
  3. Step 3: Cross multiply
    14,983x = 22,475.66 × 8,743.64
  4. Step 4: Simplify right side
    14,983x = 196,519,079.80
  5. Step 5: Solve for x
    x = 196,519,079.80/14,983
  6. Step 6: Final answer
    x = 13,116.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.