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Finding the Fourth Proportional to 23,157.76, 31,958.30 and 14,200.10

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Solution

The fourth proportional to 23,157.76, 31,958.30 and 14,200.10 is: 19,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.76 : 31,958.30 = 14,200.10 : x
  2. Step 2: Convert to fraction form
    23,157.76/31,958.30 = 14,200.10/x
  3. Step 3: Cross multiply
    23,157.76x = 31,958.30 × 14,200.10
  4. Step 4: Simplify right side
    23,157.76x = 453,811,055.83
  5. Step 5: Solve for x
    x = 453,811,055.83/23,157.76
  6. Step 6: Final answer
    x = 19,596.50

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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.