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Finding the Fourth Proportional to 13,854.02, 19,117.41 and 7,804.76

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Solution

The fourth proportional to 13,854.02, 19,117.41 and 7,804.76 is: 10,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.02 : 19,117.41 = 7,804.76 : x
  2. Step 2: Convert to fraction form
    13,854.02/19,117.41 = 7,804.76/x
  3. Step 3: Cross multiply
    13,854.02x = 19,117.41 × 7,804.76
  4. Step 4: Simplify right side
    13,854.02x = 149,206,796.87
  5. Step 5: Solve for x
    x = 149,206,796.87/13,854.02
  6. Step 6: Final answer
    x = 10,769.93

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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.