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Finding the Fourth Proportional to 13,804.20, 19,054.08 and 13,098.78

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Solution

The fourth proportional to 13,804.20, 19,054.08 and 13,098.78 is: 18,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.20 : 19,054.08 = 13,098.78 : x
  2. Step 2: Convert to fraction form
    13,804.20/19,054.08 = 13,098.78/x
  3. Step 3: Cross multiply
    13,804.20x = 19,054.08 × 13,098.78
  4. Step 4: Simplify right side
    13,804.20x = 249,585,202.02
  5. Step 5: Solve for x
    x = 249,585,202.02/13,804.20
  6. Step 6: Final answer
    x = 18,080.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.