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Finding the Fourth Proportional to 12,437.68, 18,647.21 and 7,506.17

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Solution

The fourth proportional to 12,437.68, 18,647.21 and 7,506.17 is: 11,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.68 : 18,647.21 = 7,506.17 : x
  2. Step 2: Convert to fraction form
    12,437.68/18,647.21 = 7,506.17/x
  3. Step 3: Cross multiply
    12,437.68x = 18,647.21 × 7,506.17
  4. Step 4: Simplify right side
    12,437.68x = 139,969,128.29
  5. Step 5: Solve for x
    x = 139,969,128.29/12,437.68
  6. Step 6: Final answer
    x = 11,253.64

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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.