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Finding the Fourth Proportional to 34,014.65, 51,031.14 and 11,829.26

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Solution

The fourth proportional to 34,014.65, 51,031.14 and 11,829.26 is: 17,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,014.65 : 51,031.14 = 11,829.26 : x
  2. Step 2: Convert to fraction form
    34,014.65/51,031.14 = 11,829.26/x
  3. Step 3: Cross multiply
    34,014.65x = 51,031.14 × 11,829.26
  4. Step 4: Simplify right side
    34,014.65x = 603,660,368.00
  5. Step 5: Solve for x
    x = 603,660,368.00/34,014.65
  6. Step 6: Final answer
    x = 17,747.07

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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.