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Finding the Fourth Proportional to 12,806.97, 19,210.32 and 7,577.91

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Solution

The fourth proportional to 12,806.97, 19,210.32 and 7,577.91 is: 11,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.97 : 19,210.32 = 7,577.91 : x
  2. Step 2: Convert to fraction form
    12,806.97/19,210.32 = 7,577.91/x
  3. Step 3: Cross multiply
    12,806.97x = 19,210.32 × 7,577.91
  4. Step 4: Simplify right side
    12,806.97x = 145,574,076.03
  5. Step 5: Solve for x
    x = 145,574,076.03/12,806.97
  6. Step 6: Final answer
    x = 11,366.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.