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Finding the Fourth Proportional to 13,681.98, 18,881.14 and 7,394.36

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Solution

The fourth proportional to 13,681.98, 18,881.14 and 7,394.36 is: 10,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.98 : 18,881.14 = 7,394.36 : x
  2. Step 2: Convert to fraction form
    13,681.98/18,881.14 = 7,394.36/x
  3. Step 3: Cross multiply
    13,681.98x = 18,881.14 × 7,394.36
  4. Step 4: Simplify right side
    13,681.98x = 139,613,946.37
  5. Step 5: Solve for x
    x = 139,613,946.37/13,681.98
  6. Step 6: Final answer
    x = 10,204.22

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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.