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Finding the Fourth Proportional to 34,263.81, 51,421.68 and 14,556.20

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Solution

The fourth proportional to 34,263.81, 51,421.68 and 14,556.20 is: 21,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,263.81 : 51,421.68 = 14,556.20 : x
  2. Step 2: Convert to fraction form
    34,263.81/51,421.68 = 14,556.20/x
  3. Step 3: Cross multiply
    34,263.81x = 51,421.68 × 14,556.20
  4. Step 4: Simplify right side
    34,263.81x = 748,504,001.31
  5. Step 5: Solve for x
    x = 748,504,001.31/34,263.81
  6. Step 6: Final answer
    x = 21,845.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.