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Finding the Fourth Proportional to 23,765.29, 32,803.40 and 13,700.46

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Solution

The fourth proportional to 23,765.29, 32,803.40 and 13,700.46 is: 18,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,765.29 : 32,803.40 = 13,700.46 : x
  2. Step 2: Convert to fraction form
    23,765.29/32,803.40 = 13,700.46/x
  3. Step 3: Cross multiply
    23,765.29x = 32,803.40 × 13,700.46
  4. Step 4: Simplify right side
    23,765.29x = 449,421,669.56
  5. Step 5: Solve for x
    x = 449,421,669.56/23,765.29
  6. Step 6: Final answer
    x = 18,910.84

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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.