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Finding the Fourth Proportional to 13,505.77, 20,267.72 and 4,740.71

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Solution

The fourth proportional to 13,505.77, 20,267.72 and 4,740.71 is: 7,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.77 : 20,267.72 = 4,740.71 : x
  2. Step 2: Convert to fraction form
    13,505.77/20,267.72 = 4,740.71/x
  3. Step 3: Cross multiply
    13,505.77x = 20,267.72 × 4,740.71
  4. Step 4: Simplify right side
    13,505.77x = 96,083,359.18
  5. Step 5: Solve for x
    x = 96,083,359.18/13,505.77
  6. Step 6: Final answer
    x = 7,114.25

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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.