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Finding the Fourth Proportional to 13,873.58, 20,810.32 and 6,473.93

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Solution

The fourth proportional to 13,873.58, 20,810.32 and 6,473.93 is: 9,710.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.58 : 20,810.32 = 6,473.93 : x
  2. Step 2: Convert to fraction form
    13,873.58/20,810.32 = 6,473.93/x
  3. Step 3: Cross multiply
    13,873.58x = 20,810.32 × 6,473.93
  4. Step 4: Simplify right side
    13,873.58x = 134,724,434.72
  5. Step 5: Solve for x
    x = 134,724,434.72/13,873.58
  6. Step 6: Final answer
    x = 9,710.86

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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.