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Finding the Fourth Proportional to 13,375.83, 18,458.40 and 7,407.48

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Solution

The fourth proportional to 13,375.83, 18,458.40 and 7,407.48 is: 10,222.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.83 : 18,458.40 = 7,407.48 : x
  2. Step 2: Convert to fraction form
    13,375.83/18,458.40 = 7,407.48/x
  3. Step 3: Cross multiply
    13,375.83x = 18,458.40 × 7,407.48
  4. Step 4: Simplify right side
    13,375.83x = 136,730,228.83
  5. Step 5: Solve for x
    x = 136,730,228.83/13,375.83
  6. Step 6: Final answer
    x = 10,222.19

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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.