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Finding the Fourth Proportional to 13,823.14, 19,076.85 and 7,854.82

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Solution

The fourth proportional to 13,823.14, 19,076.85 and 7,854.82 is: 10,840.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,823.14 : 19,076.85 = 7,854.82 : x
  2. Step 2: Convert to fraction form
    13,823.14/19,076.85 = 7,854.82/x
  3. Step 3: Cross multiply
    13,823.14x = 19,076.85 × 7,854.82
  4. Step 4: Simplify right side
    13,823.14x = 149,845,222.92
  5. Step 5: Solve for x
    x = 149,845,222.92/13,823.14
  6. Step 6: Final answer
    x = 10,840.17

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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.