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Finding the Fourth Proportional to 13,875.51, 20,813.22 and 4,990.83

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Solution

The fourth proportional to 13,875.51, 20,813.22 and 4,990.83 is: 7,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.51 : 20,813.22 = 4,990.83 : x
  2. Step 2: Convert to fraction form
    13,875.51/20,813.22 = 4,990.83/x
  3. Step 3: Cross multiply
    13,875.51x = 20,813.22 × 4,990.83
  4. Step 4: Simplify right side
    13,875.51x = 103,875,190.74
  5. Step 5: Solve for x
    x = 103,875,190.74/13,875.51
  6. Step 6: Final answer
    x = 7,486.22

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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.