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Finding the Fourth Proportional to 13,536.56, 18,695.10 and 9,298.79

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Solution

The fourth proportional to 13,536.56, 18,695.10 and 9,298.79 is: 12,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.56 : 18,695.10 = 9,298.79 : x
  2. Step 2: Convert to fraction form
    13,536.56/18,695.10 = 9,298.79/x
  3. Step 3: Cross multiply
    13,536.56x = 18,695.10 × 9,298.79
  4. Step 4: Simplify right side
    13,536.56x = 173,841,808.93
  5. Step 5: Solve for x
    x = 173,841,808.93/13,536.56
  6. Step 6: Final answer
    x = 12,842.39

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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.