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Finding the Fourth Proportional to 13,806.80, 19,055.60 and 7,840.40

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Solution

The fourth proportional to 13,806.80, 19,055.60 and 7,840.40 is: 10,821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.80 : 19,055.60 = 7,840.40 : x
  2. Step 2: Convert to fraction form
    13,806.80/19,055.60 = 7,840.40/x
  3. Step 3: Cross multiply
    13,806.80x = 19,055.60 × 7,840.40
  4. Step 4: Simplify right side
    13,806.80x = 149,403,465.26
  5. Step 5: Solve for x
    x = 149,403,465.26/13,806.80
  6. Step 6: Final answer
    x = 10,821.00

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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.