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Finding the Fourth Proportional to 14,233.40, 19,638 and 9,200.58

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Solution

The fourth proportional to 14,233.40, 19,638 and 9,200.58 is: 12,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,233.40 : 19,638 = 9,200.58 : x
  2. Step 2: Convert to fraction form
    14,233.40/19,638 = 9,200.58/x
  3. Step 3: Cross multiply
    14,233.40x = 19,638 × 9,200.58
  4. Step 4: Simplify right side
    14,233.40x = 180,680,990.04
  5. Step 5: Solve for x
    x = 180,680,990.04/14,233.40
  6. Step 6: Final answer
    x = 12,694.16

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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.