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Finding the Fourth Proportional to 23,770.63, 32,800.98 and 13,697.07

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Solution

The fourth proportional to 23,770.63, 32,800.98 and 13,697.07 is: 18,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.63 : 32,800.98 = 13,697.07 : x
  2. Step 2: Convert to fraction form
    23,770.63/32,800.98 = 13,697.07/x
  3. Step 3: Cross multiply
    23,770.63x = 32,800.98 × 13,697.07
  4. Step 4: Simplify right side
    23,770.63x = 449,277,319.13
  5. Step 5: Solve for x
    x = 449,277,319.13/23,770.63
  6. Step 6: Final answer
    x = 18,900.52

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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.