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Finding the Fourth Proportional to 23,107.87, 31,888.87 and 12,497.51

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Solution

The fourth proportional to 23,107.87, 31,888.87 and 12,497.51 is: 17,246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,107.87 : 31,888.87 = 12,497.51 : x
  2. Step 2: Convert to fraction form
    23,107.87/31,888.87 = 12,497.51/x
  3. Step 3: Cross multiply
    23,107.87x = 31,888.87 × 12,497.51
  4. Step 4: Simplify right side
    23,107.87x = 398,531,289.64
  5. Step 5: Solve for x
    x = 398,531,289.64/23,107.87
  6. Step 6: Final answer
    x = 17,246.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.