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Finding the Fourth Proportional to 23,577.56, 32,538.65 and 12,967.19

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Solution

The fourth proportional to 23,577.56, 32,538.65 and 12,967.19 is: 17,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,577.56 : 32,538.65 = 12,967.19 : x
  2. Step 2: Convert to fraction form
    23,577.56/32,538.65 = 12,967.19/x
  3. Step 3: Cross multiply
    23,577.56x = 32,538.65 × 12,967.19
  4. Step 4: Simplify right side
    23,577.56x = 421,934,629.36
  5. Step 5: Solve for x
    x = 421,934,629.36/23,577.56
  6. Step 6: Final answer
    x = 17,895.61

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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.