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Finding the Fourth Proportional to 23,513.56, 32,446.86 and 12,903.16

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Solution

The fourth proportional to 23,513.56, 32,446.86 and 12,903.16 is: 17,805.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.56 : 32,446.86 = 12,903.16 : x
  2. Step 2: Convert to fraction form
    23,513.56/32,446.86 = 12,903.16/x
  3. Step 3: Cross multiply
    23,513.56x = 32,446.86 × 12,903.16
  4. Step 4: Simplify right side
    23,513.56x = 418,667,026.08
  5. Step 5: Solve for x
    x = 418,667,026.08/23,513.56
  6. Step 6: Final answer
    x = 17,805.34

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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.