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Finding the Fourth Proportional to 13,135.14, 18,128.01 and 7,314.84

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Solution

The fourth proportional to 13,135.14, 18,128.01 and 7,314.84 is: 10,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.14 : 18,128.01 = 7,314.84 : x
  2. Step 2: Convert to fraction form
    13,135.14/18,128.01 = 7,314.84/x
  3. Step 3: Cross multiply
    13,135.14x = 18,128.01 × 7,314.84
  4. Step 4: Simplify right side
    13,135.14x = 132,603,492.67
  5. Step 5: Solve for x
    x = 132,603,492.67/13,135.14
  6. Step 6: Final answer
    x = 10,095.32

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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.