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Finding the Fourth Proportional to 16,781.76, 23,158.08 and 9,705.60

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Solution

The fourth proportional to 16,781.76, 23,158.08 and 9,705.60 is: 13,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,781.76 : 23,158.08 = 9,705.60 : x
  2. Step 2: Convert to fraction form
    16,781.76/23,158.08 = 9,705.60/x
  3. Step 3: Cross multiply
    16,781.76x = 23,158.08 × 9,705.60
  4. Step 4: Simplify right side
    16,781.76x = 224,763,061.25
  5. Step 5: Solve for x
    x = 224,763,061.25/16,781.76
  6. Step 6: Final answer
    x = 13,393.29

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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.