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Finding the Fourth Proportional to 23,488.81, 32,414.55 and 12,878.22

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Solution

The fourth proportional to 23,488.81, 32,414.55 and 12,878.22 is: 17,771.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.81 : 32,414.55 = 12,878.22 : x
  2. Step 2: Convert to fraction form
    23,488.81/32,414.55 = 12,878.22/x
  3. Step 3: Cross multiply
    23,488.81x = 32,414.55 × 12,878.22
  4. Step 4: Simplify right side
    23,488.81x = 417,441,706.10
  5. Step 5: Solve for x
    x = 417,441,706.10/23,488.81
  6. Step 6: Final answer
    x = 17,771.94

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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.