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Finding the Fourth Proportional to 13,693.04, 18,896.34 and 7,405.42

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Solution

The fourth proportional to 13,693.04, 18,896.34 and 7,405.42 is: 10,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,693.04 : 18,896.34 = 7,405.42 : x
  2. Step 2: Convert to fraction form
    13,693.04/18,896.34 = 7,405.42/x
  3. Step 3: Cross multiply
    13,693.04x = 18,896.34 × 7,405.42
  4. Step 4: Simplify right side
    13,693.04x = 139,935,334.16
  5. Step 5: Solve for x
    x = 139,935,334.16/13,693.04
  6. Step 6: Final answer
    x = 10,219.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.