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Finding the Fourth Proportional to 22,624.63, 31,225.74 and 12,556.31

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Solution

The fourth proportional to 22,624.63, 31,225.74 and 12,556.31 is: 17,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,624.63 : 31,225.74 = 12,556.31 : x
  2. Step 2: Convert to fraction form
    22,624.63/31,225.74 = 12,556.31/x
  3. Step 3: Cross multiply
    22,624.63x = 31,225.74 × 12,556.31
  4. Step 4: Simplify right side
    22,624.63x = 392,079,852.51
  5. Step 5: Solve for x
    x = 392,079,852.51/22,624.63
  6. Step 6: Final answer
    x = 17,329.78

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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.