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Finding the Fourth Proportional to 13,509.02, 18,642.28 and 7,542.16

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Solution

The fourth proportional to 13,509.02, 18,642.28 and 7,542.16 is: 10,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.02 : 18,642.28 = 7,542.16 : x
  2. Step 2: Convert to fraction form
    13,509.02/18,642.28 = 7,542.16/x
  3. Step 3: Cross multiply
    13,509.02x = 18,642.28 × 7,542.16
  4. Step 4: Simplify right side
    13,509.02x = 140,603,058.52
  5. Step 5: Solve for x
    x = 140,603,058.52/13,509.02
  6. Step 6: Final answer
    x = 10,408.09

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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.