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Finding the Fourth Proportional to 12,584.79, 17,365.62 and 7,549.23

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Solution

The fourth proportional to 12,584.79, 17,365.62 and 7,549.23 is: 10,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.79 : 17,365.62 = 7,549.23 : x
  2. Step 2: Convert to fraction form
    12,584.79/17,365.62 = 7,549.23/x
  3. Step 3: Cross multiply
    12,584.79x = 17,365.62 × 7,549.23
  4. Step 4: Simplify right side
    12,584.79x = 131,097,059.47
  5. Step 5: Solve for x
    x = 131,097,059.47/12,584.79
  6. Step 6: Final answer
    x = 10,417.10

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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.