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Finding the Fourth Proportional to 14,830.38, 20,465.31 and 8,865.34

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Solution

The fourth proportional to 14,830.38, 20,465.31 and 8,865.34 is: 12,233.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,830.38 : 20,465.31 = 8,865.34 : x
  2. Step 2: Convert to fraction form
    14,830.38/20,465.31 = 8,865.34/x
  3. Step 3: Cross multiply
    14,830.38x = 20,465.31 × 8,865.34
  4. Step 4: Simplify right side
    14,830.38x = 181,431,931.36
  5. Step 5: Solve for x
    x = 181,431,931.36/14,830.38
  6. Step 6: Final answer
    x = 12,233.80

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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.