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Finding the Fourth Proportional to 16,970, 25,463.16 and 12,835.28

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Solution

The fourth proportional to 16,970, 25,463.16 and 12,835.28 is: 19,259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,970 : 25,463.16 = 12,835.28 : x
  2. Step 2: Convert to fraction form
    16,970/25,463.16 = 12,835.28/x
  3. Step 3: Cross multiply
    16,970x = 25,463.16 × 12,835.28
  4. Step 4: Simplify right side
    16,970x = 326,826,788.28
  5. Step 5: Solve for x
    x = 326,826,788.28/16,970
  6. Step 6: Final answer
    x = 19,259.09

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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.