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Finding the Fourth Proportional to 23,770.60, 32,798.90 and 13,159.72

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Solution

The fourth proportional to 23,770.60, 32,798.90 and 13,159.72 is: 18,157.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.60 : 32,798.90 = 13,159.72 : x
  2. Step 2: Convert to fraction form
    23,770.60/32,798.90 = 13,159.72/x
  3. Step 3: Cross multiply
    23,770.60x = 32,798.90 × 13,159.72
  4. Step 4: Simplify right side
    23,770.60x = 431,624,340.31
  5. Step 5: Solve for x
    x = 431,624,340.31/23,770.60
  6. Step 6: Final answer
    x = 18,157.91

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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.