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Finding the Fourth Proportional to 13,875.92, 20,810.08 and 6,473.04

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Solution

The fourth proportional to 13,875.92, 20,810.08 and 6,473.04 is: 9,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.92 : 20,810.08 = 6,473.04 : x
  2. Step 2: Convert to fraction form
    13,875.92/20,810.08 = 6,473.04/x
  3. Step 3: Cross multiply
    13,875.92x = 20,810.08 × 6,473.04
  4. Step 4: Simplify right side
    13,875.92x = 134,704,480.24
  5. Step 5: Solve for x
    x = 134,704,480.24/13,875.92
  6. Step 6: Final answer
    x = 9,707.79

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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.