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Finding the Fourth Proportional to 16,835.34, 25,253.14 and 7,472.84

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Solution

The fourth proportional to 16,835.34, 25,253.14 and 7,472.84 is: 11,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,835.34 : 25,253.14 = 7,472.84 : x
  2. Step 2: Convert to fraction form
    16,835.34/25,253.14 = 7,472.84/x
  3. Step 3: Cross multiply
    16,835.34x = 25,253.14 × 7,472.84
  4. Step 4: Simplify right side
    16,835.34x = 188,712,813.38
  5. Step 5: Solve for x
    x = 188,712,813.38/16,835.34
  6. Step 6: Final answer
    x = 11,209.32

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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.