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Finding the Fourth Proportional to 13,427.84, 18,531 and 7,459.52

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Solution

The fourth proportional to 13,427.84, 18,531 and 7,459.52 is: 10,294.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.84 : 18,531 = 7,459.52 : x
  2. Step 2: Convert to fraction form
    13,427.84/18,531 = 7,459.52/x
  3. Step 3: Cross multiply
    13,427.84x = 18,531 × 7,459.52
  4. Step 4: Simplify right side
    13,427.84x = 138,232,365.12
  5. Step 5: Solve for x
    x = 138,232,365.12/13,427.84
  6. Step 6: Final answer
    x = 10,294.46

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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.