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Finding the Fourth Proportional to 13,458.90, 18,573.12 and 7,869.90

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Solution

The fourth proportional to 13,458.90, 18,573.12 and 7,869.90 is: 10,860.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.90 : 18,573.12 = 7,869.90 : x
  2. Step 2: Convert to fraction form
    13,458.90/18,573.12 = 7,869.90/x
  3. Step 3: Cross multiply
    13,458.90x = 18,573.12 × 7,869.90
  4. Step 4: Simplify right side
    13,458.90x = 146,168,597.09
  5. Step 5: Solve for x
    x = 146,168,597.09/13,458.90
  6. Step 6: Final answer
    x = 10,860.37

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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.