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Finding the Fourth Proportional to 23,123.01, 31,909.77 and 12,512.64

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Solution

The fourth proportional to 23,123.01, 31,909.77 and 12,512.64 is: 17,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,123.01 : 31,909.77 = 12,512.64 : x
  2. Step 2: Convert to fraction form
    23,123.01/31,909.77 = 12,512.64/x
  3. Step 3: Cross multiply
    23,123.01x = 31,909.77 × 12,512.64
  4. Step 4: Simplify right side
    23,123.01x = 399,275,464.49
  5. Step 5: Solve for x
    x = 399,275,464.49/23,123.01
  6. Step 6: Final answer
    x = 17,267.45

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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.