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Finding the Fourth Proportional to 13,508.83, 18,643.12 and 7,541.66

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Solution

The fourth proportional to 13,508.83, 18,643.12 and 7,541.66 is: 10,408.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.83 : 18,643.12 = 7,541.66 : x
  2. Step 2: Convert to fraction form
    13,508.83/18,643.12 = 7,541.66/x
  3. Step 3: Cross multiply
    13,508.83x = 18,643.12 × 7,541.66
  4. Step 4: Simplify right side
    13,508.83x = 140,600,072.38
  5. Step 5: Solve for x
    x = 140,600,072.38/13,508.83
  6. Step 6: Final answer
    x = 10,408.01

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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.