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Finding the Fourth Proportional to 13,855, 19,119.90 and 7,567.39

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Solution

The fourth proportional to 13,855, 19,119.90 and 7,567.39 is: 10,443.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855 : 19,119.90 = 7,567.39 : x
  2. Step 2: Convert to fraction form
    13,855/19,119.90 = 7,567.39/x
  3. Step 3: Cross multiply
    13,855x = 19,119.90 × 7,567.39
  4. Step 4: Simplify right side
    13,855x = 144,687,740.06
  5. Step 5: Solve for x
    x = 144,687,740.06/13,855
  6. Step 6: Final answer
    x = 10,443.00

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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.