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Finding the Fourth Proportional to 23,152.63, 31,950.59 and 12,542.30

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Solution

The fourth proportional to 23,152.63, 31,950.59 and 12,542.30 is: 17,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.63 : 31,950.59 = 12,542.30 : x
  2. Step 2: Convert to fraction form
    23,152.63/31,950.59 = 12,542.30/x
  3. Step 3: Cross multiply
    23,152.63x = 31,950.59 × 12,542.30
  4. Step 4: Simplify right side
    23,152.63x = 400,733,996.19
  5. Step 5: Solve for x
    x = 400,733,996.19/23,152.63
  6. Step 6: Final answer
    x = 17,308.36

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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.