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Finding the Fourth Proportional to 34,314.57, 51,461.33 and 13,252.95

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Solution

The fourth proportional to 34,314.57, 51,461.33 and 13,252.95 is: 19,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,314.57 : 51,461.33 = 13,252.95 : x
  2. Step 2: Convert to fraction form
    34,314.57/51,461.33 = 13,252.95/x
  3. Step 3: Cross multiply
    34,314.57x = 51,461.33 × 13,252.95
  4. Step 4: Simplify right side
    34,314.57x = 682,014,367.16
  5. Step 5: Solve for x
    x = 682,014,367.16/34,314.57
  6. Step 6: Final answer
    x = 19,875.36

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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.