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Finding the Fourth Proportional to 22,780.77, 31,437.51 and 12,708.96

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Solution

The fourth proportional to 22,780.77, 31,437.51 and 12,708.96 is: 17,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,780.77 : 31,437.51 = 12,708.96 : x
  2. Step 2: Convert to fraction form
    22,780.77/31,437.51 = 12,708.96/x
  3. Step 3: Cross multiply
    22,780.77x = 31,437.51 × 12,708.96
  4. Step 4: Simplify right side
    22,780.77x = 399,538,057.09
  5. Step 5: Solve for x
    x = 399,538,057.09/22,780.77
  6. Step 6: Final answer
    x = 17,538.39

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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.