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Finding the Fourth Proportional to 13,430.52, 18,533.25 and 7,462.44

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Solution

The fourth proportional to 13,430.52, 18,533.25 and 7,462.44 is: 10,297.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.52 : 18,533.25 = 7,462.44 : x
  2. Step 2: Convert to fraction form
    13,430.52/18,533.25 = 7,462.44/x
  3. Step 3: Cross multiply
    13,430.52x = 18,533.25 × 7,462.44
  4. Step 4: Simplify right side
    13,430.52x = 138,303,266.13
  5. Step 5: Solve for x
    x = 138,303,266.13/13,430.52
  6. Step 6: Final answer
    x = 10,297.69

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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.