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Finding the Fourth Proportional to 13,347.66, 18,421.62 and 7,682.31

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Solution

The fourth proportional to 13,347.66, 18,421.62 and 7,682.31 is: 10,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,347.66 : 18,421.62 = 7,682.31 : x
  2. Step 2: Convert to fraction form
    13,347.66/18,421.62 = 7,682.31/x
  3. Step 3: Cross multiply
    13,347.66x = 18,421.62 × 7,682.31
  4. Step 4: Simplify right side
    13,347.66x = 141,520,595.54
  5. Step 5: Solve for x
    x = 141,520,595.54/13,347.66
  6. Step 6: Final answer
    x = 10,602.65

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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.