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Finding the Fourth Proportional to 14,530.74, 20,046.33 and 8,938.50

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Solution

The fourth proportional to 14,530.74, 20,046.33 and 8,938.50 is: 12,331.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.74 : 20,046.33 = 8,938.50 : x
  2. Step 2: Convert to fraction form
    14,530.74/20,046.33 = 8,938.50/x
  3. Step 3: Cross multiply
    14,530.74x = 20,046.33 × 8,938.50
  4. Step 4: Simplify right side
    14,530.74x = 179,184,120.71
  5. Step 5: Solve for x
    x = 179,184,120.71/14,530.74
  6. Step 6: Final answer
    x = 12,331.38

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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.