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Finding the Fourth Proportional to 13,427.78, 18,530.10 and 7,459.29

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Solution

The fourth proportional to 13,427.78, 18,530.10 and 7,459.29 is: 10,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,427.78 : 18,530.10 = 7,459.29 : x
  2. Step 2: Convert to fraction form
    13,427.78/18,530.10 = 7,459.29/x
  3. Step 3: Cross multiply
    13,427.78x = 18,530.10 × 7,459.29
  4. Step 4: Simplify right side
    13,427.78x = 138,221,389.63
  5. Step 5: Solve for x
    x = 138,221,389.63/13,427.78
  6. Step 6: Final answer
    x = 10,293.69

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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.