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Finding the Fourth Proportional to 13,568.67, 20,345.73 and 4,802.46

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Solution

The fourth proportional to 13,568.67, 20,345.73 and 4,802.46 is: 7,201.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.67 : 20,345.73 = 4,802.46 : x
  2. Step 2: Convert to fraction form
    13,568.67/20,345.73 = 4,802.46/x
  3. Step 3: Cross multiply
    13,568.67x = 20,345.73 × 4,802.46
  4. Step 4: Simplify right side
    13,568.67x = 97,709,554.50
  5. Step 5: Solve for x
    x = 97,709,554.50/13,568.67
  6. Step 6: Final answer
    x = 7,201.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.