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Finding the Fourth Proportional to 14,773.69, 20,384.06 and 9,029.68

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Solution

The fourth proportional to 14,773.69, 20,384.06 and 9,029.68 is: 12,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.69 : 20,384.06 = 9,029.68 : x
  2. Step 2: Convert to fraction form
    14,773.69/20,384.06 = 9,029.68/x
  3. Step 3: Cross multiply
    14,773.69x = 20,384.06 × 9,029.68
  4. Step 4: Simplify right side
    14,773.69x = 184,061,442.79
  5. Step 5: Solve for x
    x = 184,061,442.79/14,773.69
  6. Step 6: Final answer
    x = 12,458.73

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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.