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Finding the Fourth Proportional to 13,223.76, 18,248.80 and 7,634.76

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Solution

The fourth proportional to 13,223.76, 18,248.80 and 7,634.76 is: 10,535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.76 : 18,248.80 = 7,634.76 : x
  2. Step 2: Convert to fraction form
    13,223.76/18,248.80 = 7,634.76/x
  3. Step 3: Cross multiply
    13,223.76x = 18,248.80 × 7,634.76
  4. Step 4: Simplify right side
    13,223.76x = 139,325,208.29
  5. Step 5: Solve for x
    x = 139,325,208.29/13,223.76
  6. Step 6: Final answer
    x = 10,535.98

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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.