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Finding the Fourth Proportional to 13,693.84, 20,549.98 and 6,199.43

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Solution

The fourth proportional to 13,693.84, 20,549.98 and 6,199.43 is: 9,303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.84 : 20,549.98 = 6,199.43 : x
  2. Step 2: Convert to fraction form
    13,693.84/20,549.98 = 6,199.43/x
  3. Step 3: Cross multiply
    13,693.84x = 20,549.98 × 6,199.43
  4. Step 4: Simplify right side
    13,693.84x = 127,398,162.51
  5. Step 5: Solve for x
    x = 127,398,162.51/13,693.84
  6. Step 6: Final answer
    x = 9,303.32

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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.