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Finding the Fourth Proportional to 23,117.92, 31,902.59 and 12,507.32

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Solution

The fourth proportional to 23,117.92, 31,902.59 and 12,507.32 is: 17,260.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,117.92 : 31,902.59 = 12,507.32 : x
  2. Step 2: Convert to fraction form
    23,117.92/31,902.59 = 12,507.32/x
  3. Step 3: Cross multiply
    23,117.92x = 31,902.59 × 12,507.32
  4. Step 4: Simplify right side
    23,117.92x = 399,016,012.98
  5. Step 5: Solve for x
    x = 399,016,012.98/23,117.92
  6. Step 6: Final answer
    x = 17,260.03

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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.