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Finding the Fourth Proportional to 14,737.78, 20,338.12 and 8,023.46

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Solution

The fourth proportional to 14,737.78, 20,338.12 and 8,023.46 is: 11,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.78 : 20,338.12 = 8,023.46 : x
  2. Step 2: Convert to fraction form
    14,737.78/20,338.12 = 8,023.46/x
  3. Step 3: Cross multiply
    14,737.78x = 20,338.12 × 8,023.46
  4. Step 4: Simplify right side
    14,737.78x = 163,182,000.63
  5. Step 5: Solve for x
    x = 163,182,000.63/14,737.78
  6. Step 6: Final answer
    x = 11,072.36

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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.