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Finding the Fourth Proportional to 23,005.71, 31,750.53 and 12,797.76

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Solution

The fourth proportional to 23,005.71, 31,750.53 and 12,797.76 is: 17,662.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005.71 : 31,750.53 = 12,797.76 : x
  2. Step 2: Convert to fraction form
    23,005.71/31,750.53 = 12,797.76/x
  3. Step 3: Cross multiply
    23,005.71x = 31,750.53 × 12,797.76
  4. Step 4: Simplify right side
    23,005.71x = 406,335,662.81
  5. Step 5: Solve for x
    x = 406,335,662.81/23,005.71
  6. Step 6: Final answer
    x = 17,662.38

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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.