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Finding the Fourth Proportional to 14,514.50, 20,009.77 and 9,735.30

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Solution

The fourth proportional to 14,514.50, 20,009.77 and 9,735.30 is: 13,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,514.50 : 20,009.77 = 9,735.30 : x
  2. Step 2: Convert to fraction form
    14,514.50/20,009.77 = 9,735.30/x
  3. Step 3: Cross multiply
    14,514.50x = 20,009.77 × 9,735.30
  4. Step 4: Simplify right side
    14,514.50x = 194,801,089.54
  5. Step 5: Solve for x
    x = 194,801,089.54/14,514.50
  6. Step 6: Final answer
    x = 13,421.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.