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Finding the Fourth Proportional to 12,548.82, 17,315.42 and 7,242.62

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Solution

The fourth proportional to 12,548.82, 17,315.42 and 7,242.62 is: 9,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,548.82 : 17,315.42 = 7,242.62 : x
  2. Step 2: Convert to fraction form
    12,548.82/17,315.42 = 7,242.62/x
  3. Step 3: Cross multiply
    12,548.82x = 17,315.42 × 7,242.62
  4. Step 4: Simplify right side
    12,548.82x = 125,408,925.15
  5. Step 5: Solve for x
    x = 125,408,925.15/12,548.82
  6. Step 6: Final answer
    x = 9,993.68

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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.