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Finding the Fourth Proportional to 22,709.63, 31,339.28 and 12,773.63

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Solution

The fourth proportional to 22,709.63, 31,339.28 and 12,773.63 is: 17,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.63 : 31,339.28 = 12,773.63 : x
  2. Step 2: Convert to fraction form
    22,709.63/31,339.28 = 12,773.63/x
  3. Step 3: Cross multiply
    22,709.63x = 31,339.28 × 12,773.63
  4. Step 4: Simplify right side
    22,709.63x = 400,316,242.42
  5. Step 5: Solve for x
    x = 400,316,242.42/22,709.63
  6. Step 6: Final answer
    x = 17,627.60

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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.