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Finding the Fourth Proportional to 13,885.49, 19,142.04 and 9,899.68

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Solution

The fourth proportional to 13,885.49, 19,142.04 and 9,899.68 is: 13,647.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.49 : 19,142.04 = 9,899.68 : x
  2. Step 2: Convert to fraction form
    13,885.49/19,142.04 = 9,899.68/x
  3. Step 3: Cross multiply
    13,885.49x = 19,142.04 × 9,899.68
  4. Step 4: Simplify right side
    13,885.49x = 189,499,925.34
  5. Step 5: Solve for x
    x = 189,499,925.34/13,885.49
  6. Step 6: Final answer
    x = 13,647.34

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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.