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Finding the Fourth Proportional to 16,781.50, 23,152.80 and 9,705.34

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Solution

The fourth proportional to 16,781.50, 23,152.80 and 9,705.34 is: 13,390.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.50 : 23,152.80 = 9,705.34 : x
  2. Step 2: Convert to fraction form
    16,781.50/23,152.80 = 9,705.34/x
  3. Step 3: Cross multiply
    16,781.50x = 23,152.80 × 9,705.34
  4. Step 4: Simplify right side
    16,781.50x = 224,705,795.95
  5. Step 5: Solve for x
    x = 224,705,795.95/16,781.50
  6. Step 6: Final answer
    x = 13,390.09

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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.