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Finding the Fourth Proportional to 13,568.36, 18,725 and 7,598.84

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Solution

The fourth proportional to 13,568.36, 18,725 and 7,598.84 is: 10,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.36 : 18,725 = 7,598.84 : x
  2. Step 2: Convert to fraction form
    13,568.36/18,725 = 7,598.84/x
  3. Step 3: Cross multiply
    13,568.36x = 18,725 × 7,598.84
  4. Step 4: Simplify right side
    13,568.36x = 142,288,279
  5. Step 5: Solve for x
    x = 142,288,279/13,568.36
  6. Step 6: Final answer
    x = 10,486.77

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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.