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Finding the Fourth Proportional to 23,129.34, 31,918.50 and 12,519

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Solution

The fourth proportional to 23,129.34, 31,918.50 and 12,519 is: 17,276.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.34 : 31,918.50 = 12,519 : x
  2. Step 2: Convert to fraction form
    23,129.34/31,918.50 = 12,519/x
  3. Step 3: Cross multiply
    23,129.34x = 31,918.50 × 12,519
  4. Step 4: Simplify right side
    23,129.34x = 399,587,701.50
  5. Step 5: Solve for x
    x = 399,587,701.50/23,129.34
  6. Step 6: Final answer
    x = 17,276.23

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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.