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Finding the Fourth Proportional to 22,775.54, 31,430.49 and 12,704.84

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Solution

The fourth proportional to 22,775.54, 31,430.49 and 12,704.84 is: 17,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.54 : 31,430.49 = 12,704.84 : x
  2. Step 2: Convert to fraction form
    22,775.54/31,430.49 = 12,704.84/x
  3. Step 3: Cross multiply
    22,775.54x = 31,430.49 × 12,704.84
  4. Step 4: Simplify right side
    22,775.54x = 399,319,346.57
  5. Step 5: Solve for x
    x = 399,319,346.57/22,775.54
  6. Step 6: Final answer
    x = 17,532.82

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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.