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Finding the Fourth Proportional to 12,990.84, 17,933.04 and 8,281.32

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Solution

The fourth proportional to 12,990.84, 17,933.04 and 8,281.32 is: 11,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,990.84 : 17,933.04 = 8,281.32 : x
  2. Step 2: Convert to fraction form
    12,990.84/17,933.04 = 8,281.32/x
  3. Step 3: Cross multiply
    12,990.84x = 17,933.04 × 8,281.32
  4. Step 4: Simplify right side
    12,990.84x = 148,509,242.81
  5. Step 5: Solve for x
    x = 148,509,242.81/12,990.84
  6. Step 6: Final answer
    x = 11,431.84

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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.