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Finding the Fourth Proportional to 22,846.83, 31,528.40 and 12,775.15

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Solution

The fourth proportional to 22,846.83, 31,528.40 and 12,775.15 is: 17,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.83 : 31,528.40 = 12,775.15 : x
  2. Step 2: Convert to fraction form
    22,846.83/31,528.40 = 12,775.15/x
  3. Step 3: Cross multiply
    22,846.83x = 31,528.40 × 12,775.15
  4. Step 4: Simplify right side
    22,846.83x = 402,780,039.26
  5. Step 5: Solve for x
    x = 402,780,039.26/22,846.83
  6. Step 6: Final answer
    x = 17,629.58

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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.