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Finding the Fourth Proportional to 13,428.02, 18,530.06 and 7,459.22

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Solution

The fourth proportional to 13,428.02, 18,530.06 and 7,459.22 is: 10,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,428.02 : 18,530.06 = 7,459.22 : x
  2. Step 2: Convert to fraction form
    13,428.02/18,530.06 = 7,459.22/x
  3. Step 3: Cross multiply
    13,428.02x = 18,530.06 × 7,459.22
  4. Step 4: Simplify right side
    13,428.02x = 138,219,794.15
  5. Step 5: Solve for x
    x = 138,219,794.15/13,428.02
  6. Step 6: Final answer
    x = 10,293.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.