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Finding the Fourth Proportional to 14,539.50, 20,065.77 and 9,232.38

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Solution

The fourth proportional to 14,539.50, 20,065.77 and 9,232.38 is: 12,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,539.50 : 20,065.77 = 9,232.38 : x
  2. Step 2: Convert to fraction form
    14,539.50/20,065.77 = 9,232.38/x
  3. Step 3: Cross multiply
    14,539.50x = 20,065.77 × 9,232.38
  4. Step 4: Simplify right side
    14,539.50x = 185,254,813.63
  5. Step 5: Solve for x
    x = 185,254,813.63/14,539.50
  6. Step 6: Final answer
    x = 12,741.48

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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.