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Finding the Fourth Proportional to 13,751.47, 20,599.46 and 6,345.64

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Solution

The fourth proportional to 13,751.47, 20,599.46 and 6,345.64 is: 9,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.47 : 20,599.46 = 6,345.64 : x
  2. Step 2: Convert to fraction form
    13,751.47/20,599.46 = 6,345.64/x
  3. Step 3: Cross multiply
    13,751.47x = 20,599.46 × 6,345.64
  4. Step 4: Simplify right side
    13,751.47x = 130,716,622.63
  5. Step 5: Solve for x
    x = 130,716,622.63/13,751.47
  6. Step 6: Final answer
    x = 9,505.65

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