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Finding the Fourth Proportional to 14,091.77, 19,446.40 and 7,804.01

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Solution

The fourth proportional to 14,091.77, 19,446.40 and 7,804.01 is: 10,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,091.77 : 19,446.40 = 7,804.01 : x
  2. Step 2: Convert to fraction form
    14,091.77/19,446.40 = 7,804.01/x
  3. Step 3: Cross multiply
    14,091.77x = 19,446.40 × 7,804.01
  4. Step 4: Simplify right side
    14,091.77x = 151,759,900.06
  5. Step 5: Solve for x
    x = 151,759,900.06/14,091.77
  6. Step 6: Final answer
    x = 10,769.40

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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.