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Finding the Fourth Proportional to 23,526.56, 32,465.72 and 13,454.48

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Solution

The fourth proportional to 23,526.56, 32,465.72 and 13,454.48 is: 18,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,526.56 : 32,465.72 = 13,454.48 : x
  2. Step 2: Convert to fraction form
    23,526.56/32,465.72 = 13,454.48/x
  3. Step 3: Cross multiply
    23,526.56x = 32,465.72 × 13,454.48
  4. Step 4: Simplify right side
    23,526.56x = 436,809,380.43
  5. Step 5: Solve for x
    x = 436,809,380.43/23,526.56
  6. Step 6: Final answer
    x = 18,566.65

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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.