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Finding the Fourth Proportional to 12,972.48, 17,884.32 and 9,184.32

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Solution

The fourth proportional to 12,972.48, 17,884.32 and 9,184.32 is: 12,661.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,972.48 : 17,884.32 = 9,184.32 : x
  2. Step 2: Convert to fraction form
    12,972.48/17,884.32 = 9,184.32/x
  3. Step 3: Cross multiply
    12,972.48x = 17,884.32 × 9,184.32
  4. Step 4: Simplify right side
    12,972.48x = 164,255,317.86
  5. Step 5: Solve for x
    x = 164,255,317.86/12,972.48
  6. Step 6: Final answer
    x = 12,661.83

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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.