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Finding the Fourth Proportional to 12,536.70, 18,768.15 and 9,264.39

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Solution

The fourth proportional to 12,536.70, 18,768.15 and 9,264.39 is: 13,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.70 : 18,768.15 = 9,264.39 : x
  2. Step 2: Convert to fraction form
    12,536.70/18,768.15 = 9,264.39/x
  3. Step 3: Cross multiply
    12,536.70x = 18,768.15 × 9,264.39
  4. Step 4: Simplify right side
    12,536.70x = 173,875,461.18
  5. Step 5: Solve for x
    x = 173,875,461.18/12,536.70
  6. Step 6: Final answer
    x = 13,869.32

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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.