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Finding the Fourth Proportional to 12,602.31, 18,877.53 and 7,395.63

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Solution

The fourth proportional to 12,602.31, 18,877.53 and 7,395.63 is: 11,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.31 : 18,877.53 = 7,395.63 : x
  2. Step 2: Convert to fraction form
    12,602.31/18,877.53 = 7,395.63/x
  3. Step 3: Cross multiply
    12,602.31x = 18,877.53 × 7,395.63
  4. Step 4: Simplify right side
    12,602.31x = 139,611,227.19
  5. Step 5: Solve for x
    x = 139,611,227.19/12,602.31
  6. Step 6: Final answer
    x = 11,078.23

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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.