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Finding the Fourth Proportional to 22,646.58, 31,253.81 and 12,575.44

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Solution

The fourth proportional to 22,646.58, 31,253.81 and 12,575.44 is: 17,354.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.58 : 31,253.81 = 12,575.44 : x
  2. Step 2: Convert to fraction form
    22,646.58/31,253.81 = 12,575.44/x
  3. Step 3: Cross multiply
    22,646.58x = 31,253.81 × 12,575.44
  4. Step 4: Simplify right side
    22,646.58x = 393,030,412.43
  5. Step 5: Solve for x
    x = 393,030,412.43/22,646.58
  6. Step 6: Final answer
    x = 17,354.96

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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.