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Finding the Fourth Proportional to 13,017.84, 17,957.88 and 8,293.92

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Solution

The fourth proportional to 13,017.84, 17,957.88 and 8,293.92 is: 11,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,017.84 : 17,957.88 = 8,293.92 : x
  2. Step 2: Convert to fraction form
    13,017.84/17,957.88 = 8,293.92/x
  3. Step 3: Cross multiply
    13,017.84x = 17,957.88 × 8,293.92
  4. Step 4: Simplify right side
    13,017.84x = 148,941,220.09
  5. Step 5: Solve for x
    x = 148,941,220.09/13,017.84
  6. Step 6: Final answer
    x = 11,441.32

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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.