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Finding the Fourth Proportional to 23,124.57, 31,911.98 and 12,514.20

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Solution

The fourth proportional to 23,124.57, 31,911.98 and 12,514.20 is: 17,269.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,124.57 : 31,911.98 = 12,514.20 : x
  2. Step 2: Convert to fraction form
    23,124.57/31,911.98 = 12,514.20/x
  3. Step 3: Cross multiply
    23,124.57x = 31,911.98 × 12,514.20
  4. Step 4: Simplify right side
    23,124.57x = 399,352,900.12
  5. Step 5: Solve for x
    x = 399,352,900.12/23,124.57
  6. Step 6: Final answer
    x = 17,269.64

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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.