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Finding the Fourth Proportional to 26,175.50, 39,275.85 and 13,029.02

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Solution

The fourth proportional to 26,175.50, 39,275.85 and 13,029.02 is: 19,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,175.50 : 39,275.85 = 13,029.02 : x
  2. Step 2: Convert to fraction form
    26,175.50/39,275.85 = 13,029.02/x
  3. Step 3: Cross multiply
    26,175.50x = 39,275.85 × 13,029.02
  4. Step 4: Simplify right side
    26,175.50x = 511,725,835.17
  5. Step 5: Solve for x
    x = 511,725,835.17/26,175.50
  6. Step 6: Final answer
    x = 19,549.80

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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.