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Finding the Fourth Proportional to 13,427.34, 18,531.95 and 7,460.93

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Solution

The fourth proportional to 13,427.34, 18,531.95 and 7,460.93 is: 10,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.34 : 18,531.95 = 7,460.93 : x
  2. Step 2: Convert to fraction form
    13,427.34/18,531.95 = 7,460.93/x
  3. Step 3: Cross multiply
    13,427.34x = 18,531.95 × 7,460.93
  4. Step 4: Simplify right side
    13,427.34x = 138,265,451.75
  5. Step 5: Solve for x
    x = 138,265,451.75/13,427.34
  6. Step 6: Final answer
    x = 10,297.31

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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.