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Finding the Fourth Proportional to 22,874.58, 31,567.52 and 12,804.74

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Solution

The fourth proportional to 22,874.58, 31,567.52 and 12,804.74 is: 17,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.58 : 31,567.52 = 12,804.74 : x
  2. Step 2: Convert to fraction form
    22,874.58/31,567.52 = 12,804.74/x
  3. Step 3: Cross multiply
    22,874.58x = 31,567.52 × 12,804.74
  4. Step 4: Simplify right side
    22,874.58x = 404,213,886.04
  5. Step 5: Solve for x
    x = 404,213,886.04/22,874.58
  6. Step 6: Final answer
    x = 17,670.88

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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.