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Finding the Fourth Proportional to 23,117.16, 31,902.19 and 12,768.88

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Solution

The fourth proportional to 23,117.16, 31,902.19 and 12,768.88 is: 17,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.16 : 31,902.19 = 12,768.88 : x
  2. Step 2: Convert to fraction form
    23,117.16/31,902.19 = 12,768.88/x
  3. Step 3: Cross multiply
    23,117.16x = 31,902.19 × 12,768.88
  4. Step 4: Simplify right side
    23,117.16x = 407,355,253.53
  5. Step 5: Solve for x
    x = 407,355,253.53/23,117.16
  6. Step 6: Final answer
    x = 17,621.34

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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.