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Finding the Fourth Proportional to 13,820.90, 19,072.79 and 7,854.49

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Solution

The fourth proportional to 13,820.90, 19,072.79 and 7,854.49 is: 10,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.90 : 19,072.79 = 7,854.49 : x
  2. Step 2: Convert to fraction form
    13,820.90/19,072.79 = 7,854.49/x
  3. Step 3: Cross multiply
    13,820.90x = 19,072.79 × 7,854.49
  4. Step 4: Simplify right side
    13,820.90x = 149,807,038.33
  5. Step 5: Solve for x
    x = 149,807,038.33/13,820.90
  6. Step 6: Final answer
    x = 10,839.17

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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.