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Finding the Fourth Proportional to 23,408.40, 32,304.06 and 12,798.48

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Solution

The fourth proportional to 23,408.40, 32,304.06 and 12,798.48 is: 17,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,408.40 : 32,304.06 = 12,798.48 : x
  2. Step 2: Convert to fraction form
    23,408.40/32,304.06 = 12,798.48/x
  3. Step 3: Cross multiply
    23,408.40x = 32,304.06 × 12,798.48
  4. Step 4: Simplify right side
    23,408.40x = 413,442,865.83
  5. Step 5: Solve for x
    x = 413,442,865.83/23,408.40
  6. Step 6: Final answer
    x = 17,662.16

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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.