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Finding the Fourth Proportional to 13,437.12, 18,542.16 and 7,468.32

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Solution

The fourth proportional to 13,437.12, 18,542.16 and 7,468.32 is: 10,305.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.12 : 18,542.16 = 7,468.32 : x
  2. Step 2: Convert to fraction form
    13,437.12/18,542.16 = 7,468.32/x
  3. Step 3: Cross multiply
    13,437.12x = 18,542.16 × 7,468.32
  4. Step 4: Simplify right side
    13,437.12x = 138,478,784.37
  5. Step 5: Solve for x
    x = 138,478,784.37/13,437.12
  6. Step 6: Final answer
    x = 10,305.69

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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.