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Finding the Fourth Proportional to 12,518.67, 18,781.53 and 6,271.14

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Solution

The fourth proportional to 12,518.67, 18,781.53 and 6,271.14 is: 9,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,518.67 : 18,781.53 = 6,271.14 : x
  2. Step 2: Convert to fraction form
    12,518.67/18,781.53 = 6,271.14/x
  3. Step 3: Cross multiply
    12,518.67x = 18,781.53 × 6,271.14
  4. Step 4: Simplify right side
    12,518.67x = 117,781,510.14
  5. Step 5: Solve for x
    x = 117,781,510.14/12,518.67
  6. Step 6: Final answer
    x = 9,408.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.