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Finding the Fourth Proportional to 13,508.95, 18,643.29 and 7,541.82

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Solution

The fourth proportional to 13,508.95, 18,643.29 and 7,541.82 is: 10,408.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.95 : 18,643.29 = 7,541.82 : x
  2. Step 2: Convert to fraction form
    13,508.95/18,643.29 = 7,541.82/x
  3. Step 3: Cross multiply
    13,508.95x = 18,643.29 × 7,541.82
  4. Step 4: Simplify right side
    13,508.95x = 140,604,337.39
  5. Step 5: Solve for x
    x = 140,604,337.39/13,508.95
  6. Step 6: Final answer
    x = 10,408.24

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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.