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Finding the Fourth Proportional to 13,264.29, 18,304.39 and 7,214.46

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Solution

The fourth proportional to 13,264.29, 18,304.39 and 7,214.46 is: 9,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.29 : 18,304.39 = 7,214.46 : x
  2. Step 2: Convert to fraction form
    13,264.29/18,304.39 = 7,214.46/x
  3. Step 3: Cross multiply
    13,264.29x = 18,304.39 × 7,214.46
  4. Step 4: Simplify right side
    13,264.29x = 132,056,253.41
  5. Step 5: Solve for x
    x = 132,056,253.41/13,264.29
  6. Step 6: Final answer
    x = 9,955.77

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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.