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Finding the Fourth Proportional to 12,602.65, 17,394.29 and 7,567.09

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Solution

The fourth proportional to 12,602.65, 17,394.29 and 7,567.09 is: 10,444.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.65 : 17,394.29 = 7,567.09 : x
  2. Step 2: Convert to fraction form
    12,602.65/17,394.29 = 7,567.09/x
  3. Step 3: Cross multiply
    12,602.65x = 17,394.29 × 7,567.09
  4. Step 4: Simplify right side
    12,602.65x = 131,624,157.92
  5. Step 5: Solve for x
    x = 131,624,157.92/12,602.65
  6. Step 6: Final answer
    x = 10,444.17

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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.