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Finding the Fourth Proportional to 12,654.63, 17,478.89 and 9,482.11

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Solution

The fourth proportional to 12,654.63, 17,478.89 and 9,482.11 is: 13,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.63 : 17,478.89 = 9,482.11 : x
  2. Step 2: Convert to fraction form
    12,654.63/17,478.89 = 9,482.11/x
  3. Step 3: Cross multiply
    12,654.63x = 17,478.89 × 9,482.11
  4. Step 4: Simplify right side
    12,654.63x = 165,736,800.43
  5. Step 5: Solve for x
    x = 165,736,800.43/12,654.63
  6. Step 6: Final answer
    x = 13,096.93

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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.