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Finding the Fourth Proportional to 22,991.60, 31,728.32 and 12,920.32

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Solution

The fourth proportional to 22,991.60, 31,728.32 and 12,920.32 is: 17,829.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,991.60 : 31,728.32 = 12,920.32 : x
  2. Step 2: Convert to fraction form
    22,991.60/31,728.32 = 12,920.32/x
  3. Step 3: Cross multiply
    22,991.60x = 31,728.32 × 12,920.32
  4. Step 4: Simplify right side
    22,991.60x = 409,940,047.46
  5. Step 5: Solve for x
    x = 409,940,047.46/22,991.60
  6. Step 6: Final answer
    x = 17,829.99

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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.