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Finding the Fourth Proportional to 13,536.12, 18,678.98 and 7,568.28

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Solution

The fourth proportional to 13,536.12, 18,678.98 and 7,568.28 is: 10,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.12 : 18,678.98 = 7,568.28 : x
  2. Step 2: Convert to fraction form
    13,536.12/18,678.98 = 7,568.28/x
  3. Step 3: Cross multiply
    13,536.12x = 18,678.98 × 7,568.28
  4. Step 4: Simplify right side
    13,536.12x = 141,367,750.75
  5. Step 5: Solve for x
    x = 141,367,750.75/13,536.12
  6. Step 6: Final answer
    x = 10,443.74

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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.