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Finding the Fourth Proportional to 14,737.22, 20,337.80 and 8,023.30

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Solution

The fourth proportional to 14,737.22, 20,337.80 and 8,023.30 is: 11,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.22 : 20,337.80 = 8,023.30 : x
  2. Step 2: Convert to fraction form
    14,737.22/20,337.80 = 8,023.30/x
  3. Step 3: Cross multiply
    14,737.22x = 20,337.80 × 8,023.30
  4. Step 4: Simplify right side
    14,737.22x = 163,176,270.74
  5. Step 5: Solve for x
    x = 163,176,270.74/14,737.22
  6. Step 6: Final answer
    x = 11,072.39

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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.