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Finding the Fourth Proportional to 23,485.28, 32,409.82 and 12,730.18

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Solution

The fourth proportional to 23,485.28, 32,409.82 and 12,730.18 is: 17,567.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,485.28 : 32,409.82 = 12,730.18 : x
  2. Step 2: Convert to fraction form
    23,485.28/32,409.82 = 12,730.18/x
  3. Step 3: Cross multiply
    23,485.28x = 32,409.82 × 12,730.18
  4. Step 4: Simplify right side
    23,485.28x = 412,582,842.37
  5. Step 5: Solve for x
    x = 412,582,842.37/23,485.28
  6. Step 6: Final answer
    x = 17,567.72

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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.