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Finding the Fourth Proportional to 23,513.44, 32,449.04 and 12,903.76

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Solution

The fourth proportional to 23,513.44, 32,449.04 and 12,903.76 is: 17,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,513.44 : 32,449.04 = 12,903.76 : x
  2. Step 2: Convert to fraction form
    23,513.44/32,449.04 = 12,903.76/x
  3. Step 3: Cross multiply
    23,513.44x = 32,449.04 × 12,903.76
  4. Step 4: Simplify right side
    23,513.44x = 418,714,624.39
  5. Step 5: Solve for x
    x = 418,714,624.39/23,513.44
  6. Step 6: Final answer
    x = 17,807.46

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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.