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Finding the Fourth Proportional to 17,097.50, 23,594.56 and 9,646.94

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Solution

The fourth proportional to 17,097.50, 23,594.56 and 9,646.94 is: 13,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.50 : 23,594.56 = 9,646.94 : x
  2. Step 2: Convert to fraction form
    17,097.50/23,594.56 = 9,646.94/x
  3. Step 3: Cross multiply
    17,097.50x = 23,594.56 × 9,646.94
  4. Step 4: Simplify right side
    17,097.50x = 227,615,304.65
  5. Step 5: Solve for x
    x = 227,615,304.65/17,097.50
  6. Step 6: Final answer
    x = 13,312.78

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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.